Solve for k -15k=9(-k+14)

$- 15 k = 9 (- k + 14)$

Simplify $9 (- k + 14)$ .

Apply the distributive property.

$- 15 k = 9 (- k) + 9 \cdot 14$

Multiply.

Multiply $- 1$ by $9$ .

$- 15 k = - 9 k + 9 \cdot 14$

Multiply $9$ by $14$ .

$- 15 k = - 9 k + 126$

Move all terms containing $k$ to the left side of the equation.

Add $9 k$ to both sides of the equation.

$- 15 k + 9 k = 126$

Add $- 15 k$ and $9 k$ .

$- 6 k = 126$

Divide each term in $- 6 k = 126$ by $- 6$ and simplify.

Divide each term in $- 6 k = 126$ by $- 6$ .

$\frac{- 6 k}{- 6} = \frac{126}{- 6}$

Simplify the left side.

Cancel the common factor of $- 6$ .

Cancel the common factor.

$\frac{- 6 k}{- 6} = \frac{126}{- 6}$

Divide $k$ by $1$ .

$k = \frac{126}{- 6}$

Simplify the right side.

Divide $126$ by $- 6$ .

$k = - 21$