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5(w+3)=8(w+6)
We move all terms to the left:
5(w+3)-(8(w+6))=0
We multiply parentheses
5w-(8(w+6))+15=0
We calculate terms in parentheses: -(8(w+6)), so:We get rid of parentheses
8(w+6)
We multiply parentheses
8w+48
Back to the equation:
-(8w+48)
5w-8w-48+15=0
We add all the numbers together, and all the variables
-3w-33=0
We move all terms containing w to the left, all other terms to the right
-3w=33
w=33/-3
w=-11
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