Solve for m -2m+11m+m+11=-19

$- 2 m + 11 m + m + 11 = - 19$

Step 1

Simplify $- 2 m + 11 m + m + 11$ .

Add $- 2 m$ and $11 m$ .

$9 m + m + 11 = - 19$

Add $9 m$ and $m$ .

$10 m + 11 = - 19$

Step 2

Move all terms not containing $m$ to the right side of the equation.

Subtract $11$ from both sides of the equation.

$10 m = - 19 - 11$

Subtract $11$ from $- 19$ .

$10 m = - 30$

Step 3

Divide each term in $10 m = - 30$ by $10$ and simplify.

Divide each term in $10 m = - 30$ by $10$ .

$\frac{10 m}{10} = \frac{- 30}{10}$

Simplify the left side.

Cancel the common factor of $10$ .

Cancel the common factor.

$\frac{10 m}{10} = \frac{- 30}{10}$

Divide $m$ by $1$ .

$m = \frac{- 30}{10}$

Simplify the right side.

Divide $- 30$ by $10$ .

$m = - 3$