# How do you solve -2( n - 5) = 20?

May 27, 2018

$n = - 5$

#### Explanation:

$- 2 \left(n - 5\right) = 20$

First, use the distributive property shown below to simplify/expand $- 2 \left(n - 5\right)$:

Following this image, we know that:
$\textcolor{b l u e}{- 2 \left(n - 5\right) = \left(- 2 \cdot n\right) + \left(- 2 \cdot - 5\right) = - 2 n + 10}$

Now put that back into the equation:
$- 2 n + 10 = 20$

Subtract $\textcolor{b l u e}{10}$ from both sides of the equation:
$- 2 n + 10 \quad \textcolor{b l u e}{- \quad 10} = 20 \quad \textcolor{b l u e}{- \quad 10}$

$- 2 n = 10$

Now divide both sides by $\textcolor{b l u e}{- 2}$:
$\frac{- 2 n}{\textcolor{b l u e}{- 2}} = \frac{10}{\textcolor{b l u e}{- 2}}$

Therefore,
$n = - 5$

Hope this helps!