Marc Gasol also had 18 points with seven rebounds and knocked down a 21-foot jumper with 26 seconds left to secure the victory after Memphis had surrendered a 16-point advantage.
Zach Randolph helped out with a double-double of 13 points and 10 rebounds.
Bradley Beal erupted for a personal-best 37 points but leading scorer John Wall was held to just five for the Wizards, losers of three in four games.
Nene ended with 17 points.
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