Solve 8m/m+16+16/m+16=9

$$\frac { 8 m } { m + 16 } + \frac { 16 } { m + 16 } = 9$$

Solve for m

$$m=-128$$

Steps for Solving Linear Equation

Variable m cannot be equal to -16 since division by zero is not defined. Multiply both sides of the equation by m+16.

$$8m+16=9\left(m+16\right)$$

Use the distributive property to multiply 9 by m+16.

$$8m+16=9m+144$$

Subtract 9m from both sides.

$$8m+16-9m=144$$

Combine 8m and -9m to get -m.

$$-m+16=144$$

Subtract 16 from both sides.

$$-m=144-16$$

Subtract 16 from 144 to get 128.

$$-m=128$$

Multiply both sides by -1.

$$m=-128$$