Baltimore overcame a 5-0 deficit and went in front with a four-run seventh highlighted by a two-run double from Alan Jones.
Chad Bradford (2-1) came in after Suzuki hit his homer and worked 1 1/3 innings for the victory.
George Sherrill started the ninth for Baltimore and gave up a leadoff single to Yuniesky Betancourt, but then got Suzuki to ground into a double play to claim his eighth save.
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