Solve 179=180(a-2)/n

$$179 = \frac { 180 ( a - 2 ) } { n }$$

Solve for a

$$a=\frac{179n}{180}+2$$

$$n\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by n.

$$179n=180\left(a-2\right)$$

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

$$179n=180a-360$$

Swap sides so that all variable terms are on the left hand side.

$$180a-360=179n$$

Add 360 to both sides.

$$180a=179n+360$$

Divide both sides by 180.

$$\frac{180a}{180}=\frac{179n+360}{180}$$

Dividing by 180 undoes the multiplication by 180.

$$a=\frac{179n+360}{180}$$

Divide 179n+360 by 180.

$$a=\frac{179n}{180}+2$$

Solve for n

$$n=\frac{180\left(a-2\right)}{179}$$

$$a\neq 2$$

Steps for Solving Linear Equation

Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n.

$$179n=180\left(a-2\right)$$

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

$$179n=180a-360$$

Divide both sides by 179.

$$\frac{179n}{179}=\frac{180a-360}{179}$$

Dividing by 179 undoes the multiplication by 179.

$$n=\frac{180a-360}{179}$$

Variable n cannot be equal to 0.

$$n=\frac{180a-360}{179}\text{, }n\neq 0$$