With Drew Doughty off on an interference call, the Wild went on a 4-on-3 power play. Patrick O'Sullivan got the puck behind the net and whipped a pass to Burns in the high slot, who fired a shot past Jonathan Quick for the game-winner.
Dustin Brown and Ryan Smith got the markers for the Kings, who lost for the first time on a four-game home stand.
Quick turned aside 18-of-21 shots in the setback.
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