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2w+15=4w-3
We move all terms to the left:
2w+15-(4w-3)=0
We get rid of parentheses
2w-4w+3+15=0
We add all the numbers together, and all the variables
-2w+18=0
We move all terms containing w to the left, all other terms to the right
-2w=-18
w=-18/-2
w=+9
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