Simplify -4/3(3q-10)

$- \frac{4}{3} (3 q - 10)$

Apply the distributive property.

$- \frac{4}{3} (3 q) - \frac{4}{3} \cdot - 10$

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$\frac{- 4}{3} (3 q) - \frac{4}{3} \cdot - 10$

Factor $3$ out of $3 q$ .

$\frac{- 4}{3} (3 (q)) - \frac{4}{3} \cdot - 10$

Cancel the common factor.

$\frac{- 4}{3} (3 q) - \frac{4}{3} \cdot - 10$

Rewrite the expression.

$- 4 q - \frac{4}{3} \cdot - 10$

Multiply $- \frac{4}{3} \cdot - 10$ .

Multiply $- 10$ by $- 1$ .

$- 4 q + 10 (\frac{4}{3})$

Combine $10$ and $\frac{4}{3}$ .

$- 4 q + \frac{10 \cdot 4}{3}$

Multiply $10$ by $4$ .

$- 4 q + \frac{40}{3}$