Butler was the spark in a 21-5 run that gave Chicago control of the game after the bulls trailed 50-49 early in the third quarter.
Chicago (11-16) led by 19 at the end of the third period. Reggie Evans' dunk with less than a second left was the first field goal in 5 1/2 minutes for the Nets (9-19).
Deron Williams scored 18 points and Mizra Teletovic added 17 for the Nets, who have lost four straight.
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