Boston followed that up just 36 seconds into the final frame when Marchand shoveled a backhander past Pavelec from the slot.
Tyler Seguin scored and Tuukka Rask made 22 saves for the Bruins, who snapped a two-game losing streak in the second contest of a five-game road trip.
Alex Burmistrov had a goal and an assist for the Jets, who dropped their third straight and fourth in five games.
Evander Kane also scored and Pavelec finished with 23 saves for Winnipeg.
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