# How do you simplify -7(n-5)-3?

May 20, 2018

$- 7 n + 32$

#### Explanation:

$- 7 \left(n - 5\right) - 3$

First, use the distributive property as shown here to expand $- 7 \left(n - 5\right)$:

Following this image, we know that:
$\textcolor{b l u e}{- 7 \left(n - 5\right) = \left(- 7 \cdot n\right) + \left(- 7 \cdot - 5\right) = - 7 n + 35}$

Now put that back into the complete expression:
$- 7 n + 35 - 3$

Simplify $\textcolor{b l u e}{35 - 3}$:
$- 7 n + 32$

Hope this helps!