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DeGrom was perfect through five innings before Clint Barmes' leadoff single to start the sixth, but Barmes was erased on a double-play ball to end the inning as deGrom faced the minimum through seven. The right-hander went eight strong innings, allowing just two hits and striking out eight.
DeGrom pitched with a lead the entire game, as Daniel Murphy hit an RBI single in the top of the first inning and scored on a throwing error by Will Middlebrooks to open up a 2-0 lead.
The Mets struck out 12 times against Cashner over 4 2/3 innings, but chased the Padres' starter with a four-run fifth. Murphy's two-run home run extended the lead to 4-0, and Darrell Ceciliani and Juan Lagares added RBI singles to make it 6-0. Wilmer Flores added an RBI single in the seventh to extend the lead to 7-0.
Murphy finished with four hits in five at-bats, including three runs scored and three RBI, and Ruben Tejada stayed hot with three hits of his own and two runs.
The Mets continue their three-game series against the Padres on Tuesday at Petco Park at 10:10 p.m. Noah Syndergaard (2-2, 1.82 ERA) starts for the Mets opposite Ian Kennedy (2-5, 7.15 ERA).