Solve for k 9-5k=12-(6k+7)

$9 - 5 k = 12 - (6 k + 7)$

Simplify $12 - (6 k + 7)$ .

Simplify each term.

Apply the distributive property.

$9 - 5 k = 12 - (6 k) - 1 \cdot 7$

Multiply $6$ by $- 1$ .

$9 - 5 k = 12 - 6 k - 1 \cdot 7$

Multiply $- 1$ by $7$ .

$9 - 5 k = 12 - 6 k - 7$

Subtract $7$ from $12$ .

$9 - 5 k = - 6 k + 5$

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

Add $6 k$ to both sides of the equation.

$9 - 5 k + 6 k = 5$

Add $- 5 k$ and $6 k$ .

$9 + k = 5$

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

Subtract $9$ from both sides of the equation.

$k = 5 - 9$

Subtract $9$ from $5$ .

$k = - 4$