# How do you simplify  -9(10-4k)+4?

Jun 30, 2018

$36 k - 86$

#### Explanation:

$- 9 \left(10 - 4 k\right) + 4$

First, use the distributive property (shown below) to simplify $- 9 \left(10 - 4 k\right)$:

Following this image, we know that:
$\textcolor{b l u e}{- 9 \left(10 - 4 k\right) = \left(- 9 \cdot 10\right) + \left(- 9 \cdot - 4 k\right) = - 90 + 36 k}$

Put that back into the expression:
$- 90 + 36 k + 4$

Add $\textcolor{b l u e}{- 90}$ and $\textcolor{b l u e}{4}$:
$- 86 + 36 k$

$= 36 k - 86$

Hope this helps!