# How do you simplify -2 + 6( -7w + 9)?

Jun 9, 2018

$52 - 42 w$

#### Explanation:

$- 2 + 6 \left(- 7 w + 9\right)$

First, use the distributive property (shown below) to simplify $6 \left(- 7 w + 9\right)$:

Following this image, we know that:
$\textcolor{b l u e}{6 \left(- 7 w + 9\right) = \left(6 \cdot - 7 w\right) + \left(6 \cdot 9\right) = - 42 w + 54}$

Put it back into the expression:
$- 2 - 42 w + 54$

Combine $- 2$ and $54$ to get your final answer:
$52 - 42 w$

Hope this helps!