Solve 2m/m+6+6/m+6=3

$$\frac { 2 m } { m + 6 } + \frac { 6 } { m + 6 } = 3$$

Solve for m

$$m=-12$$

Steps for Solving Linear Equation

Variable m cannot be equal to -6 since division by zero is not defined. Multiply both sides of the equation by m+6.

$$2m+6=3\left(m+6\right)$$

Use the distributive property to multiply 3 by m+6.

$$2m+6=3m+18$$

Subtract 3m from both sides.

$$2m+6-3m=18$$

Combine 2m and -3m to get -m.

$$-m+6=18$$

Subtract 6 from both sides.

$$-m=18-6$$

Subtract 6 from 18 to get 12.

$$-m=12$$

Multiply both sides by -1.

$$m=-12$$