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The win completed a whipsaw of a weekend for Boston, which won Games 3 and 4 in Toronto last week to put the Maple Leafs on the brink of elimination, but failed to clinch at home on Friday and again in Game 6 when the series returned to the Air Canada Centre.

The Bruins found out during the game that their plane had mechanical difficulties, so they returned to their Toronto hotel and flew back to Boston on Monday morning, just hours before the game.

“They had us on the ropes and we’re glad we’re done with them,” Bruins coach Claude Julien said. “Drained is obviously the key word. The emotions of this game had us going in all directions.”

The Bruins appeared tired in the early part of the game, spotting Toronto a 4-1 lead on Nazem Kadri’s goal at 5:29 of the third period.

But Bergeron flicked one in with 51 seconds left, then ended it when he picked up a rebound to Reimer’s left and put it over the sprawling goaltender to send his teammates pouring over the boards and the crowd into a frenzy.

Or, at least, those who stayed: Hundreds if not more had left in the third period, then begged security to get back into the TD Garden after the Bruins rallied.

Bergeron, who had only one goal in the first six games, had two goals and his first assist of the playoffs. Lucic had a goal — his second — and an assist, and Tyler Seguin had an assist for his first point of the postseason.

The Bruins took a 1-0 lead 5:39 into the game when Franson, against the boards in his own zone, flicked the puck back between his legs right to Matt Bartkowski.

But the Maple Leafs defenseman made up for it when he tied the score four minutes later, backhanding a loose puck into the net off a rebound.

Franson gave Toronto the lead at 5:48 of the second when, then Kessel made it 3-1 two minutes into the third when he tapped in a rebound in the crease.

The announcement of Kessel’s name brought a chorus of boos from the Boston fans, who feel he never reached his potential after the Bruins picked him fifth overall in the 2006 draft.

But mostly the fans booed their own team before turning around late with chants of “Let’s Go Bruins!” and “U.S.A.!”