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2(u-3)=-7u-15
We move all terms to the left:
2(u-3)-(-7u-15)=0
We multiply parentheses
2u-(-7u-15)-6=0
We get rid of parentheses
2u+7u+15-6=0
We add all the numbers together, and all the variables
9u+9=0
We move all terms containing u to the left, all other terms to the right
9u=-9
u=-9/9
u=-1
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