Simplify 24(n/2-2/3)

$24 (\frac{n}{2} - \frac{2}{3})$

Apply the distributive property.

$24 \frac{n}{2} + 24 (- \frac{2}{3})$

Cancel the common factor of $2$ .

Factor $2$ out of $24$ .

$2 (12) \frac{n}{2} + 24 (- \frac{2}{3})$

Cancel the common factor.

$2 \cdot 12 \frac{n}{2} + 24 (- \frac{2}{3})$

Rewrite the expression.

$12 n + 24 (- \frac{2}{3})$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$12 n + 24 (\frac{- 2}{3})$

Factor $3$ out of $24$ .

$12 n + 3 (8) \frac{- 2}{3}$

Cancel the common factor.

$12 n + 3 \cdot 8 \frac{- 2}{3}$

Rewrite the expression.

$12 n + 8 \cdot - 2$

Multiply $8$ by $- 2$ .

$12 n - 16$