CLEVELAND—On a less-than-ideal night for football or any other outdoor activity, the Pittsburgh Steelers made it a perfect 10 over the Cleveland Browns.

Ignoring his sore right shoulder and wind gusts of 60 mph, Ben Roethlisberger threw an 11-yard touchdown pass to Hines Ward as the Steelers made it 10 straight wins over their closest rival, beating the Browns 10-6 to extend the NFL’s longest current winning streak between two teams.

As is their way, the Steelers wrecked Cleveland’s return to prime time after a five-year hiatus. Pittsburgh has won eight in a row in Clev...

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