((n-2)*180)/n=160

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Solution for ((n-2)*180)/n=160 equation: 



((n-2)*180)/n=160

We move all terms to the left:

((n-2)*180)/n-(160)=0



Domain of the equation: n!=0

n∈R



We multiply all the terms by the denominator


((n-2)*180)-160*n=0



We calculate terms in parentheses: +((n-2)*180), so:

(n-2)*180

We multiply parentheses

180n-360

Back to the equation:

+(180n-360)



We add all the numbers together, and all the variables

-160n+(180n-360)=0

We get rid of parentheses

-160n+180n-360=0

We add all the numbers together, and all the variables

20n-360=0

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

20n=360

n=360/20

n=18

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