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2(w-8)=7w-46
We move all terms to the left:
2(w-8)-(7w-46)=0
We multiply parentheses
2w-(7w-46)-16=0
We get rid of parentheses
2w-7w+46-16=0
We add all the numbers together, and all the variables
-5w+30=0
We move all terms containing w to the left, all other terms to the right
-5w=-30
w=-30/-5
w=+6
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