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27=8(w-6)+7w
We move all terms to the left:
27-(8(w-6)+7w)=0
We calculate terms in parentheses: -(8(w-6)+7w), so:We get rid of parentheses
8(w-6)+7w
We add all the numbers together, and all the variables
7w+8(w-6)
We multiply parentheses
7w+8w-48
We add all the numbers together, and all the variables
15w-48
Back to the equation:
-(15w-48)
-15w+48+27=0
We add all the numbers together, and all the variables
-15w+75=0
We move all terms containing w to the left, all other terms to the right
-15w=-75
w=-75/-15
w=+5
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