Solve for k -4=(k+3)/2

$- 4 = \frac{k + 3}{2}$

Rewrite the equation as $\frac{k + 3}{2} = - 4$ .

$\frac{k + 3}{2} = - 4$

Multiply both sides of the equation by $2$ .

$2 \frac{k + 3}{2} = 2 \cdot - 4$

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $2$ .

Cancel the common factor.

$2 \frac{k + 3}{2} = 2 \cdot - 4$

Rewrite the expression.

$k + 3 = 2 \cdot - 4$

Simplify the right side.

Multiply $2$ by $- 4$ .

$k + 3 = - 8$

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

Subtract $3$ from both sides of the equation.

$k = - 8 - 3$

Subtract $3$ from $- 8$ .

$k = - 11$