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5/n+8=3/n-7
We move all terms to the left:
5/n+8-(3/n-7)=0
Domain of the equation: n!=0
n∈R
Domain of the equation: n-7)!=0We get rid of parentheses
n∈R
5/n-3/n+7+8=0
We multiply all the terms by the denominator
7*n+8*n+5-3=0
We add all the numbers together, and all the variables
15n+2=0
We move all terms containing n to the left, all other terms to the right
15n=-2
n=-2/15
n=-2/15
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