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6(w-9)=-2w-46
We move all terms to the left:
6(w-9)-(-2w-46)=0
We multiply parentheses
6w-(-2w-46)-54=0
We get rid of parentheses
6w+2w+46-54=0
We add all the numbers together, and all the variables
8w-8=0
We move all terms containing w to the left, all other terms to the right
8w=8
w=8/8
w=1
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