BOSTON (AP) -- Doc Rivers knew there would be no rest for the aging Boston Celtics .
The only question was whether they would be in Atlanta playing Game 7 of the first round or at home opening the Eastern Conference semifinals against Philadelphia.
"At least we don't have to travel," Rivers said Thursday night after the Celtics beat the Hawks 83-80 to win the series in six games. "It's a short turnaround, but I'd rather be going to Game 1 here than Game 7 in Atlanta."
The Celtics will open the Eastern Conference semifinals on Saturday in Boston against the 76ers, who eliminated East No. 1 seed Chicago in six games with a 79-78 victory earlier Thursday. The Sixers were 2-1 against Boston this season, including a 32-point victory in Philadelphia on March 7.
"We've got a bunch of gazelles coming in here," Rivers said. "They only beat us by 1,000 points in two of our three games."
Kevin Garnett scored 28 points with 14 rebounds, hitting the go-ahead basket with 31 seconds left to help the Celtics eliminate the Hawks. Afterward, Garnett called out Hawks co-owner Michael Gearon Jr., who was quoted by the Atlanta Journal-Constitution as saying: "They are old. I know what happens when you play basketball, old guys foul. Garnett is the dirtiest guy in the league."
Garnett responded on the court, topping his regular-season high of 25 points and adding five blocks and three steals.
Then he responded off it.
"Thank you to their owner for giving me some extra gas tonight," Garnett said. "My only advice to him is next time he opens his mouth to know what he's talking about with X's and O's vs. checkbooks and bottom lines."
Paul Pierce had 18 points despite playing with a sprained medial collateral ligament in his left knee, and Rajon Rondo had 14 points and eight assists.
Josh Smith had 19 points and nine rebounds for Atlanta, which failed to advance in the playoffs for the first time in four years. Joe Johnson had 17 points, Marvin Williams added 16 and eight rebounds, and Al Horford had 15 points and nine rebounds.
But Horford missed the first of two foul shots with 2.3 seconds left after he was tackled by Marquis Daniels to avoid an easy dunk that would have tied the game. After he made the second, the Celtics got the ball to Pierce, who was fouled and made both free throws.
Boston has won at least one playoff series every year since the new Big 3 was assembled in the summer of 2007.
"The one thing about the Celtics is those guys know how to win," Williams said. "After winning (Game 5) down in Atlanta with our backs against the wall, we knew it was going to be tough coming up here. I thought we did a really good job putting ourselves in position to win down the stretch."
The Boston crowd to burst into a cheer near the end of the third quarter when the final play of the Sixers-Bulls game was shown on the scoreboard. Even the Celtics players were checking it out. Instead of having to face Chicago on the road - even without injured star Derrick Rose - Boston will have home-court advantage against eighth-seeded Philadelphia.
The Hawks went 5 minutes without scoring early in the fourth quarter as the Celtics turned a two-point game into a 74-65 lead. But Atlanta scored 10 of the next 12 points, with Horford scoring the last three baskets, making it a one-point game on an alley-oop pass from Smith with 3:52 left.
Smith faked at the top of the key and went right down the lane for a dunk that gave Atlanta its first lead of the second half, 77-76. Horford drove to the basket to give the Hawks a three-point lead.
Atlanta still led 79-78 when Garnett made a turnaround jumper in the lane over Smith to put Boston ahead by one. Smith missed a long rainbow jumper and Ray Allen got the rebound with 10 seconds left, but he made only one of two free throws.
Johnson drove to the basket but Pierce blocked his shot and Garnett tipped it out of bounds with 3.1 seconds left. The Hawks got the ball to Horford in the lane but as he went up for the dunk or layup, Daniels, who played just one minute in the game, wrapped him up and kept him from scoring.
The first foul shot went off the rim, costing Atlanta a chance to tie.
Notes: Pierce injured the knee during Sunday morning's shootaround and hurt it again when he tried to get around a screen set by Smith during Game 4 that night. ... Rivers became just the third coach in Celtics' history to record 50 postseason victories, joining Red Auerbach (90) and K.C. Jones (65). New England Patriots defensive lineman Vince Wilfork was at the game. ... The Hawks lost to the Celtics in the first round of the 2008 playoffs, a series that went seven games. Boston went on to win its NBA-record 17th championship. ... Allen, the NBA's all-time 3-point leader, was 1 for 7 from beyond the arc. ... The Hawks are 1-11 in playoff series against Boston. They last beat the Celtics as the St. Louis Hawks to win the 1958 NBA title. ... Rondo had three assists and two baskets during a 16-0 run in the second quarter. Pierce, who came back off the bench in the middle of the run, had five points and a steal over the span of 4 minutes.