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5(u-9)=-8u+7
We move all terms to the left:
5(u-9)-(-8u+7)=0
We multiply parentheses
5u-(-8u+7)-45=0
We get rid of parentheses
5u+8u-7-45=0
We add all the numbers together, and all the variables
13u-52=0
We move all terms containing u to the left, all other terms to the right
13u=52
u=52/13
u=4
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