Kovalchuk and Steve Bernier each had a goal for the Devils, who evened their Eastern Conference quarterfinal series 3-3 and forced a decisive Game 7 Thursday in Florida.
Martin Brodeur needed to make only 14 saves in the victory, while Clemmensen was forced to make 39 stops in the Panthers' loss.
Sean Bergenheim and Kris Versteeg scored for Florida.
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