Sowers (3-8) struck out seven while beating the Orioles for the first time in his three-year major-league career.
Ramon Hernandez drove in the only run for the Orioles, who managed just six hits while losing for the ninth time in their past 10 games.
Radhames Liz (5-5) allowed four runs on eight hits in 4 2/3 innings to take the loss.
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