Solve for k -2=(k+7)/3

$- 2 = \frac{k + 7}{3}$

Rewrite the equation as $\frac{k + 7}{3} = - 2$ .

$\frac{k + 7}{3} = - 2$

Multiply both sides of the equation by $3$ .

$3 \frac{k + 7}{3} = 3 \cdot - 2$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $3$ .

Cancel the common factor.

$3 \frac{k + 7}{3} = 3 \cdot - 2$

Rewrite the expression.

$k + 7 = 3 \cdot - 2$

Simplify the right side.

Multiply $3$ by $- 2$ .

$k + 7 = - 6$

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

Subtract $7$ from both sides of the equation.

$k = - 6 - 7$

Subtract $7$ from $- 6$ .

$k = - 13$