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\left(n-2\right)\times 180=400n
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n.
180n-360=400n
Use the distributive property to multiply n-2 by 180.
180n-360-400n=0
Subtract 400n from both sides.
-220n-360=0
Combine 180n and -400n to get -220n.
-220n=360
Add 360 to both sides. Anything plus zero gives itself.
n=\frac{360}{-220}
Divide both sides by -220.
n=-\frac{18}{11}
Reduce the fraction \frac{360}{-220} to lowest terms by extracting and canceling out 20.