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6w+9=-9w-54
We move all terms to the left:
6w+9-(-9w-54)=0
We get rid of parentheses
6w+9w+54+9=0
We add all the numbers together, and all the variables
15w+63=0
We move all terms containing w to the left, all other terms to the right
15w=-63
w=-63/15
w=-4+1/5
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