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5n+5=7n+3
We move all terms to the left:
5n+5-(7n+3)=0
We get rid of parentheses
5n-7n-3+5=0
We add all the numbers together, and all the variables
-2n+2=0
We move all terms containing n to the left, all other terms to the right
-2n=-2
n=-2/-2
n=1
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