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(5)(w+6)=(3)(w-4)
We move all terms to the left:
(5)(w+6)-((3)(w-4))=0
We multiply parentheses
5w-(3(w-4))+30=0
We calculate terms in parentheses: -(3(w-4)), so:We get rid of parentheses
3(w-4)
We multiply parentheses
3w-12
Back to the equation:
-(3w-12)
5w-3w+12+30=0
We add all the numbers together, and all the variables
2w+42=0
We move all terms containing w to the left, all other terms to the right
2w=-42
w=-42/2
w=-21
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