Zubrus gave the Devils a quick 1-0 lead only 1:14 into game and added the game's final tally with less than 12 minutes remaining in the third period, helping New Jersey top Carolina for the third time in less than two weeks.
Hedberg raised his record to 12-10-2 with the victory.
Pat Dwyer scored and Cam Ward stopped 21-of-25 shots for the Hurricanes, who hold the eighth and final Eastern Conference playoff spot.
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