Simplify -4(4a+2b-1/2c)

$- 4 (4 a + 2 b - \frac{1}{2} c)$

Step 1

Combine $c$ and $\frac{1}{2}$ .

$- 4 (4 a + 2 b - \frac{c}{2})$

Step 2

Apply the distributive property.

$- 4 (4 a) - 4 (2 b) - 4 (- \frac{c}{2})$

Step 3

Simplify.

Multiply $4$ by $- 4$ .

$- 16 a - 4 (2 b) - 4 (- \frac{c}{2})$

Multiply $2$ by $- 4$ .

$- 16 a - 8 b - 4 (- \frac{c}{2})$

Cancel the common factor of $2$ .

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

$- 16 a - 8 b - 4 \frac{- c}{2}$

Factor $2$ out of $- 4$ .

$- 16 a - 8 b + 2 (- 2) \frac{- c}{2}$

Cancel the common factor.

$- 16 a - 8 b + 2 \cdot - 2 \frac{- c}{2}$

Rewrite the expression.

$- 16 a - 8 b - 2 (- c)$

Multiply $- 1$ by $- 2$ .

$- 16 a - 8 b + 2 c$