Solve m=8-(-2)/2-n=

$$m = \frac { 8 - ( - 2 ) } { 2 - n } =$$

Solve for n

$$n=2-\frac{10}{m}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Variable n cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by -n+2.

$$m\left(-n+2\right)=8-\left(-2\right)$$

Use the distributive property to multiply m by -n+2.

$$-mn+2m=8-\left(-2\right)$$

The opposite of -2 is 2.

$$-mn+2m=8+2$$

Add 8 and 2 to get 10.

$$-mn+2m=10$$

Subtract 2m from both sides.

$$-mn=10-2m$$

The equation is in standard form.

$$\left(-m\right)n=10-2m$$

Divide both sides by -m.

$$\frac{\left(-m\right)n}{-m}=\frac{10-2m}{-m}$$

Dividing by -m undoes the multiplication by -m.

$$n=\frac{10-2m}{-m}$$

Divide 10-2m by -m.

$$n=2-\frac{10}{m}$$

Variable n cannot be equal to 2.

$$n=2-\frac{10}{m}\text{, }n\neq 2$$

Solve for m

$$m=\frac{10}{2-n}$$

$$n\neq 2$$