# How do you simplify -c (3b - 7a)?

Mar 25, 2017

$7 a c - 3 b c$

#### Explanation:

Each term in the bracket must be multiplied by - c

This is referred to as the $\textcolor{b l u e}{\text{distributive law}}$

$\Rightarrow \textcolor{red}{- c} \left(3 b - 7 a\right)$

$= \left(\textcolor{red}{- c} \times 3 b\right) + \left(\textcolor{red}{- c} \times - 7 a\right)$

$= - 3 b c + 7 a c = 7 a c - 3 b c$