Solve 8m-8/m+8=-4/3

$$\frac { 8 m - 8 } { m + 8 } = - \frac { 4 } { 3 }$$

Solve for m

$$m=-\frac{2}{7}\approx -0.285714286$$

Steps for Solving Linear Equation

Variable m cannot be equal to -8 since division by zero is not defined. Multiply both sides of the equation by 3\left(m+8\right), the least common multiple of m+8,3.

$$3\left(8m-8\right)=-4\left(m+8\right)$$

Use the distributive property to multiply 3 by 8m-8.

$$24m-24=-4\left(m+8\right)$$

Use the distributive property to multiply -4 by m+8.

$$24m-24=-4m-32$$

Add 4m to both sides.

$$24m-24+4m=-32$$

Combine 24m and 4m to get 28m.

$$28m-24=-32$$

Add 24 to both sides.

$$28m=-32+24$$

Add -32 and 24 to get -8.

$$28m=-8$$

Divide both sides by 28.

$$m=\frac{-8}{28}$$

Reduce the fraction \frac{-8}{28} to lowest terms by extracting and canceling out 4.

$$m=-\frac{2}{7}$$