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12w+3=3w-78
We move all terms to the left:
12w+3-(3w-78)=0
We get rid of parentheses
12w-3w+78+3=0
We add all the numbers together, and all the variables
9w+81=0
We move all terms containing w to the left, all other terms to the right
9w=-81
w=-81/9
w=-9
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