# How do you simplify -2(-2u-w)-3(5w+3u)?

Jun 30, 2018

$- 5 u - 13 w$

#### Explanation:

$- 2 \left(- 2 u - w\right) - 3 \left(5 w + 3 u\right)$

Use the distributive property to simplify $- 2 \left(- 2 u - w\right)$ and $- 3 \left(5 w + 3 u\right)$:

Following this image, we know that:
$\textcolor{b l u e}{- 2 \left(- 2 u - w\right) = \left(- 2 \cdot - 2 u\right) + \left(- 2 \cdot - w\right) = 4 u + 2 w}$
and
$\textcolor{b l u e}{- 3 \left(5 w + 3 u\right) = \left(- 3 \cdot 5 w\right) + \left(- 3 \cdot 3 u\right) = - 15 w - 9 u}$

Combine the two expressions:
$4 u + 2 w - 15 w - 9 u$

Combine like terms:
$- 5 u - 13 w$

Hope this helps!