# How do you use the distributive property to simplify 7(z - 4)?

May 12, 2018

$7 z - 28$

#### Explanation:

$\text{each term in the bracket is multiplied by } 7$

$\Rightarrow \textcolor{red}{7} \left(z - 4\right)$

$= \left(\textcolor{red}{7} \times z\right) + \left(\textcolor{red}{7} \times - 4\right)$

$= 7 z + \left(- 28\right) = 7 z - 28$

May 12, 2018

$7 z - 28$

#### Explanation:

The distributive property is when you take the number outside a set of parentheses and multiply it to all the terms inside the parenthesis.

In this case, $7$ is outside the parentheses, so we multiply it to the terms inside, which would be $z$ and $\left(- 4\right)$.

We first multiply $7$ and the $z$

$7 \times z = 7 z$

Then we multiply $7$ and $\left(- 4\right)$

$7 \times \left(- 4\right) = - 28$

$7 z - 28$