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4w=6w-18
We move all terms to the left:
4w-(6w-18)=0
We get rid of parentheses
4w-6w+18=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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