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-2(w-9)=5w-31
We move all terms to the left:
-2(w-9)-(5w-31)=0
We multiply parentheses
-2w-(5w-31)+18=0
We get rid of parentheses
-2w-5w+31+18=0
We add all the numbers together, and all the variables
-7w+49=0
We move all terms containing w to the left, all other terms to the right
-7w=-49
w=-49/-7
w=+7
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