The Nets celebrated the news that they were officially on their way to New York City's Brooklyn borough next season by winning their second in a row.
The long-range shot by Brooks gave New Jersey an eight-point lead and finished off his 22-point performance.
Gerald Green scored 23 points off the bench for the Nets, who trailed by three going into the fourth quarter.
Earlier in the day the NBA's board of governors unanimously voted to allow the Nets to move to Barclays Center in Brooklyn next season. The arena on Flatbush Avenue will seat 18,200 and the team will be called the Brooklyn Nets.
The 76ers, who had won their previous two games, got 19 points from Jrue Holliday and 18 from Evan Turner.