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4(2u+1)=7u-17
We move all terms to the left:
4(2u+1)-(7u-17)=0
We multiply parentheses
8u-(7u-17)+4=0
We get rid of parentheses
8u-7u+17+4=0
We add all the numbers together, and all the variables
u+21=0
We move all terms containing u to the left, all other terms to the right
u=-21
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