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2w+3=9w-6
We move all terms to the left:
2w+3-(9w-6)=0
We get rid of parentheses
2w-9w+6+3=0
We add all the numbers together, and all the variables
-7w+9=0
We move all terms containing w to the left, all other terms to the right
-7w=-9
w=-9/-7
w=1+2/7
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