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2(w-5)=-6w+46
We move all terms to the left:
2(w-5)-(-6w+46)=0
We multiply parentheses
2w-(-6w+46)-10=0
We get rid of parentheses
2w+6w-46-10=0
We add all the numbers together, and all the variables
8w-56=0
We move all terms containing w to the left, all other terms to the right
8w=56
w=56/8
w=7
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