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9(w+6)=5w+22
We move all terms to the left:
9(w+6)-(5w+22)=0
We multiply parentheses
9w-(5w+22)+54=0
We get rid of parentheses
9w-5w-22+54=0
We add all the numbers together, and all the variables
4w+32=0
We move all terms containing w to the left, all other terms to the right
4w=-32
w=-32/4
w=-8
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