Solve 180^circ*n-360^circ=180^circ*(n-2)

$$180 ^ { \circ } \cdot n - 360 ^ { \circ } = 180 ^ { \circ } \cdot ( n - 2 )$$

Solve for n

$$n\in \mathrm{R}$$

Solution Steps

Use the distributive property to multiply 180 by n-2.

$$180n-360=180n-360$$

Subtract 180n from both sides.

$$180n-360-180n=-360$$

Combine 180n and -180n to get 0.

$$-360=-360$$

Compare -360 and -360.

$$\text{true}$$

This is true for any n.

$$n\in \mathrm{R}$$