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6-2w+7=\frac{71}{2}\times 2
Multiply both sides by 2.
13-2w=\frac{71}{2}\times 2
Add 6 and 7 to get 13.
13-2w=71
Cancel out 2 and 2.
-2w=71-13
Subtract 13 from both sides.
-2w=58
Subtract 13 from 71 to get 58.
w=\frac{58}{-2}
Divide both sides by -2.
w=-29
Divide 58 by -2 to get -29.