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-27.5=8.5n+6n
We move all terms to the left:
-27.5-(8.5n+6n)=0
We add all the numbers together, and all the variables
-(+14.5n)-27.5=0
We get rid of parentheses
-14.5n-27.5=0
We move all terms containing n to the left, all other terms to the right
-14.5n=27.5
n=27.5/-14.5
n=-1+13/14.5
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