Solve 6m/m+18+18/m+18=7

$$\frac { 6 m } { m + 18 } + \frac { 18 } { m + 18 } = 7$$

Solve for m

$$m=-108$$

Steps for Solving Linear Equation

Variable m cannot be equal to -18 since division by zero is not defined. Multiply both sides of the equation by m+18.

$$6m+18=7\left(m+18\right)$$

Use the distributive property to multiply 7 by m+18.

$$6m+18=7m+126$$

Subtract 7m from both sides.

$$6m+18-7m=126$$

Combine 6m and -7m to get -m.

$$-m+18=126$$

Subtract 18 from both sides.

$$-m=126-18$$

Subtract 18 from 126 to get 108.

$$-m=108$$

Multiply both sides by -1.

$$m=-108$$