# How do you solve 10- 2( n + 7) = 2n + 16?

Sep 27, 2017

$n = - 5$

#### Explanation:

$10 - 2 \left(n + 7\right) = 2 n + 16$

Removing the bracket first you will have..

$10 - 2 n - 14 = 2 n + 16$

Simplifying..

$- 2 n - 4 = 2 n + 16$

Collecting like terms..

$- 2 n - 2 n = 16 + 4$

$- 4 n = 20$

$\frac{\cancel{- 4 n}}{\cancel{4}} = \frac{20}{4}$

$- n = \frac{20}{4}$

$- n = 5$

$n = - 5$