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5n+1=n+41
We move all terms to the left:
5n+1-(n+41)=0
We get rid of parentheses
5n-n-41+1=0
We add all the numbers together, and all the variables
4n-40=0
We move all terms containing n to the left, all other terms to the right
4n=40
n=40/4
n=10
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