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4(w-3)=5(w-2)
We move all terms to the left:
4(w-3)-(5(w-2))=0
We multiply parentheses
4w-(5(w-2))-12=0
We calculate terms in parentheses: -(5(w-2)), so:We get rid of parentheses
5(w-2)
We multiply parentheses
5w-10
Back to the equation:
-(5w-10)
4w-5w+10-12=0
We add all the numbers together, and all the variables
-1w-2=0
We move all terms containing w to the left, all other terms to the right
-w=2
w=2/-1
w=-2
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