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4+9w=w-6
We move all terms to the left:
4+9w-(w-6)=0
We get rid of parentheses
9w-w+6+4=0
We add all the numbers together, and all the variables
8w+10=0
We move all terms containing w to the left, all other terms to the right
8w=-10
w=-10/8
w=-1+1/4
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