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((n-2)*180)/(n)=135
We move all terms to the left:
((n-2)*180)/(n)-(135)=0
Domain of the equation: n!=0We multiply all the terms by the denominator
n∈R
((n-2)*180)-135*n=0
We calculate terms in parentheses: +((n-2)*180), so:We add all the numbers together, and all the variables
(n-2)*180
We multiply parentheses
180n-360
Back to the equation:
+(180n-360)
-135n+(180n-360)=0
We get rid of parentheses
-135n+180n-360=0
We add all the numbers together, and all the variables
45n-360=0
We move all terms containing n to the left, all other terms to the right
45n=360
n=360/45
n=8
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