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2/5n+7=1/5n+4
We move all terms to the left:
2/5n+7-(1/5n+4)=0
Domain of the equation: 5n!=0
n!=0/5
n!=0
n∈R
Domain of the equation: 5n+4)!=0We get rid of parentheses
n∈R
2/5n-1/5n-4+7=0
We multiply all the terms by the denominator
-4*5n+7*5n+2-1=0
We add all the numbers together, and all the variables
-4*5n+7*5n+1=0
Wy multiply elements
-20n+35n+1=0
We add all the numbers together, and all the variables
15n+1=0
We move all terms containing n to the left, all other terms to the right
15n=-1
n=-1/15
n=-1/15
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