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7n-13=8n-14
We move all terms to the left:
7n-13-(8n-14)=0
We get rid of parentheses
7n-8n+14-13=0
We add all the numbers together, and all the variables
-1n+1=0
We move all terms containing n to the left, all other terms to the right
-n=-1
n=-1/-1
n=1
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