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\left(n-2\right)\times 180=156n
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n.
180n-360=156n
Use the distributive property to multiply n-2 by 180.
180n-360-156n=0
Subtract 156n from both sides.
24n-360=0
Combine 180n and -156n to get 24n.
24n=360
Add 360 to both sides. Anything plus zero gives itself.
n=\frac{360}{24}
Divide both sides by 24.
n=15
Divide 360 by 24 to get 15.