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5w+12=9w+16
We move all terms to the left:
5w+12-(9w+16)=0
We get rid of parentheses
5w-9w-16+12=0
We add all the numbers together, and all the variables
-4w-4=0
We move all terms containing w to the left, all other terms to the right
-4w=4
w=4/-4
w=-1
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