The Heat were also aided by point guard Mario Chalmers, who put up 25 points in his 34 minutes of play.
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Dwyane Wade had 33 points, Mario Chalmers scored 14 and Chris Bosh added 13 to help the defending NBA champions improve to 39-14.
Udonis Haslem added 13 points and five rebounds, and Mario Chalmers kicked in eight rebounds and six assists for Miami, which never trailed Sunday.
Mario Chalmers and Chris Andersen each scored 15 for Miami, which improved to 36-4 at home topping the 35-6 mark by the 2004-05 Heat.
Off a turnover, he took a pass from Mario Chalmers, thought about getting the ball to Mike Miller but Monta Eliis got into the passing lane.
It was the third time he scored 50 in his career, and it came with Miami's LeBron James, Dwyane Wade and Mario Chalmers all sidelined by injuries.
In that game they secured overtime on Mario Chalmers' three-pointer at the buzzer and cruised to a 75-68 victory over Memphis, at the time coached by Calipari.
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But that wasn't long enough to scrub a postgame shout from Miami Heat guard Dwyane Wade, who saluted teammate Mario Chalmers by giving him a profane middle name.
Chris Bosh scored 23 points for Miami, which played without LeBron James, Dwyane Wade and Mario Chalmers, all held out with injuries that are not believed to be serious.
With the shot clock about to expire late in the fourth quarter and the Thunder trailing by just three points, Westbrook made the inexplicable decision to foul the Heat's Mario Chalmers.
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When Miami closed to 64-54 on two free throws by Mario Chalmers with 7:13 to go in the third quarter, Indiana came right back with a 12-3 run that ended with two free throws from West.
The Nets completely wilted under the Heat's pressure, letting guard Mario Chalmers grab an offensive rebound while seated on the court, and throwing one inbounds pass away when there was no Miami player anywhere near to apply pressure.
Mario Chalmers scored 26 points, Chris Bosh added 24 and the Heat won their 18th straight game, easily topping the Indiana Pacers 105-91 even with James scoring only a season-low 13, yet clearly helping control play with seven assists and six rebounds.
Mario Chalmers scored 17, and Chris Bosh and Ray Allen each added 12 for Miami, giving Heat coach Erik Spoelstra his 250th win and bringing the reigning NBA champions within six games of matching the Lakers for the longest winning streak in league history, a 33-game run.
Ronnie Chalmers, Mario's father, spent 22 years in the Air Force and coached Mario's high-school basketball team in Anchorage, Alaska.
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