# How do you simplify -5 (c + d) -4d + 5c - d?

##### 1 Answer
Apr 1, 2016

$= \textcolor{g r e e n}{- 10 d}$

#### Explanation:

$\textcolor{b l u e}{- 5} \left(c + d\right) - 4 d + 5 c - d$

$= \textcolor{b l u e}{\left(- 5\right)} \cdot \left(c\right) + \textcolor{b l u e}{\left(- 5\right)} \cdot \left(d\right) - 4 d + 5 c - d$

$= \textcolor{g r e e n}{- 5 c} - 5 d - 4 d + \textcolor{g r e e n}{5 c} - d$

$= \cancel{\textcolor{g r e e n}{- 5 c}} - 5 d - 4 d + \cancel{\textcolor{g r e e n}{5 c}} - d$

$= - 5 d - 4 d - d$

$= \textcolor{g r e e n}{- 10 d}$