Solve for k 11=-3k-22-8k

$11 = - 3 k - 22 - 8 k$

Step 1

Rewrite the equation as $- 3 k - 22 - 8 k = 11$ .

$- 3 k - 22 - 8 k = 11$

Step 2

Subtract $8 k$ from $- 3 k$ .

$- 11 k - 22 = 11$

Step 3

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

Add $22$ to both sides of the equation.

$- 11 k = 11 + 22$

Add $11$ and $22$ .

$- 11 k = 33$

Step 4

Divide each term in $- 11 k = 33$ by $- 11$ and simplify.

Divide each term in $- 11 k = 33$ by $- 11$ .

$\frac{- 11 k}{- 11} = \frac{33}{- 11}$

Simplify the left side.

Cancel the common factor of $- 11$ .

Cancel the common factor.

$\frac{- 11 k}{- 11} = \frac{33}{- 11}$

Divide $k$ by $1$ .

$k = \frac{33}{- 11}$

Simplify the right side.

Divide $33$ by $- 11$ .

$k = - 3$