Jonathan Bernier made 32 saves for the defending Stanley Cup champions, who tied it with 9:34 left on Jeff Carter's goal during a two-man advantage. King then made a spinning pass from the boards in front to Kopitar, who beat Jimmy Howard for his sixth goal of the season.
Howard stopped 27 shots for the Red Wings, who had won two straight after an 0-3-2 skid.
Kyle Quincey scored his first goal of the season on a misplay by Bernier in the first period.
This team has been a real treat to say you've been the head coach of them. I'm extremely proud of this group ... after the disappointment of (the Game 6 loss) is digested, it's always a lot easier as a coach when your team has emptied its tank, and that team emptied its tank for me for three months.
— Senators coach Dave Cameron after getting eliminated in the first round by the Canadiens