Saer Sene broke a scoreless tie in the 64th minute for the Revolution, but Bruin responded 12 minutes later when he received a pass from Boniek Garcia and followed with his eighth goal of the season.
The result gave the Dynamo (12-10-8) a two-point lead for fourth place in the West.
New England (11-11-8), meanwhile, used the tie to draw within one point of the fifth-seeded Philadelphia Union.
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