Both tallies came in the third period and provided the comeback spark for the Blackhawks, who avenged a Saturday loss to the Predators in the first game of a home-and-home series.
Marty Turco, meanwhile, stopped 20 Nashville shots.
The Predators, who lost for only the second time in nine games, got two goals from J.P. Dumont and one from Martin Erat.
Anders Lindback was torched for all six goals on 34 shots for Nashville.
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