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-4(w+6)=5w-6
We move all terms to the left:
-4(w+6)-(5w-6)=0
We multiply parentheses
-4w-(5w-6)-24=0
We get rid of parentheses
-4w-5w+6-24=0
We add all the numbers together, and all the variables
-9w-18=0
We move all terms containing w to the left, all other terms to the right
-9w=18
w=18/-9
w=-2
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