(n-2)*180/n=360/n+120

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Solution for (n-2)*180/n=360/n+120 equation: 



(n-2)*180/n=360/n+120

We move all terms to the left:

(n-2)*180/n-(360/n+120)=0



Domain of the equation: n!=0

n∈R





Domain of the equation: n+120)!=0

n∈R



We get rid of parentheses

(n-2)*180/n-360/n-120=0

We multiply all the terms by the denominator


(n-2)*180-120*n-360=0

We add all the numbers together, and all the variables

-120n+(n-2)*180-360=0

We multiply parentheses

-120n+180n-360-360=0

We add all the numbers together, and all the variables

60n-720=0

We move all terms containing n to the left, all other terms to the right

60n=720

n=720/60

n=12

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