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Bath edged to a narrow 21-19 victory over a spirited Newcastle Falcons side who will be far from satisfied with a losing bonus point.
Newcastle have seldom come as close to ending a miserable run of away form in the Aviva Premiership. After 16 defeats and a draw, it is 18 months since they won on the road.
The home side suffered for their poor discipline, being reduced to 13 men at one point in the second half as prop Henry Thomas joined Francois Louw in the sin-bin.
But two first-half tries by Semesa Rokoduguni and 11 points from the boot of Tom Homer proved just enough to open up a 20-point margin over bottom club London Irish.
Newcastle scored a try through prop Rob Vickers, also in the first half, and fly-half Mike Delany kicked 14 points. But he could not quite find a way to drop a late goal that would have won the game.