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-1-8u=7u-9
We move all terms to the left:
-1-8u-(7u-9)=0
We get rid of parentheses
-8u-7u+9-1=0
We add all the numbers together, and all the variables
-15u+8=0
We move all terms containing u to the left, all other terms to the right
-15u=-8
u=-8/-15
u=8/15
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