They scored twice in the closing stages to take all three points – and move back ahead of Chris Hughton's men in the race for promotion.
The Magpies manager Rafael Benitez says they responded well after going behind early on
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Elsewhere last night, there was a first Aston Villa goal for Conor Hourihane in a 2-nil win at home to Bristol City.
While Blackburn moved closer to safety with a 1-nil win at home to Derby.