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4w-31=-3(w+8)
We move all terms to the left:
4w-31-(-3(w+8))=0
We calculate terms in parentheses: -(-3(w+8)), so:We get rid of parentheses
-3(w+8)
We multiply parentheses
-3w-24
Back to the equation:
-(-3w-24)
4w+3w+24-31=0
We add all the numbers together, and all the variables
7w-7=0
We move all terms containing w to the left, all other terms to the right
7w=7
w=7/7
w=1
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