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3u+47=8u-3
We move all terms to the left:
3u+47-(8u-3)=0
We get rid of parentheses
3u-8u+3+47=0
We add all the numbers together, and all the variables
-5u+50=0
We move all terms containing u to the left, all other terms to the right
-5u=-50
u=-50/-5
u=+10
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