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7n-5=10n-10
We move all terms to the left:
7n-5-(10n-10)=0
We get rid of parentheses
7n-10n+10-5=0
We add all the numbers together, and all the variables
-3n+5=0
We move all terms containing n to the left, all other terms to the right
-3n=-5
n=-5/-3
n=1+2/3
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