Peterson accumulated 180 yards, scoring on 1-yard runs in the second and third quarters and a 64-yarder in the fourth.
Longtime NFL star Favre connected with Percy Harvin on a 6-yard scoring pass, finishing with 14 completions in 21 attempts for 110 yards in his debut with the Vikings (1-0).
Brady Quinn was 21-for-35 for 205 yards and a touchdown for the Browns (0-1).
Josh Cribbs got another Cleveland touchdown on a 67-yard punt return.
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