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10n+7=5n+47
We move all terms to the left:
10n+7-(5n+47)=0
We get rid of parentheses
10n-5n-47+7=0
We add all the numbers together, and all the variables
5n-40=0
We move all terms containing n to the left, all other terms to the right
5n=40
n=40/5
n=8
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