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-31=6w-7
We move all terms to the left:
-31-(6w-7)=0
We get rid of parentheses
-6w+7-31=0
We add all the numbers together, and all the variables
-6w-24=0
We move all terms containing w to the left, all other terms to the right
-6w=24
w=24/-6
w=-4
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