# How do you use the distributive property to simplify -2(z-4)?

Feb 10, 2017

See the entire simplification process below:

#### Explanation:

Multiply each term in the parenthesis by $\textcolor{red}{- 2}$. Be sure to manage the signs of the individual terms correctly:

$\left(\textcolor{red}{- 2} \times z\right) + \left(\textcolor{red}{- 2} \times - 4\right) \to$

$- 2 z + 8$

or

$8 - 2 z$

Feb 10, 2017

See explanation.

#### Explanation:

The distributive property states that for every real numbers $a , b$ and $c$

## $a \times \left(b \pm c\right) = a \times b \pm a \times c$

If we apply this rule to the example we get:

$- 2 \times \left(z - 4\right) = - 2 \times z - \left(- 2\right) \times 4 = - 2 z + 8$