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2(w+1)=8(w-5)
We move all terms to the left:
2(w+1)-(8(w-5))=0
We multiply parentheses
2w-(8(w-5))+2=0
We calculate terms in parentheses: -(8(w-5)), so:We get rid of parentheses
8(w-5)
We multiply parentheses
8w-40
Back to the equation:
-(8w-40)
2w-8w+40+2=0
We add all the numbers together, and all the variables
-6w+42=0
We move all terms containing w to the left, all other terms to the right
-6w=-42
w=-42/-6
w=+7
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