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-4(u+3)=-7u-9
We move all terms to the left:
-4(u+3)-(-7u-9)=0
We multiply parentheses
-4u-(-7u-9)-12=0
We get rid of parentheses
-4u+7u+9-12=0
We add all the numbers together, and all the variables
3u-3=0
We move all terms containing u to the left, all other terms to the right
3u=3
u=3/3
u=1
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