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6(w-8)=5w-5
We move all terms to the left:
6(w-8)-(5w-5)=0
We multiply parentheses
6w-(5w-5)-48=0
We get rid of parentheses
6w-5w+5-48=0
We add all the numbers together, and all the variables
w-43=0
We move all terms containing w to the left, all other terms to the right
w=43
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