# How do you solve 5( n + 8 ) - 3 ( - n - 5 ) = - 7 n + 4 n?

Oct 13, 2016

The solution of the equation is $n = - 5$.

#### Explanation:

Begin by simplifying each side of the equation. On the left side of the equation, distribute the $5$ and $- 3$, then combine like terms. On the right side of the equation, combine like terms.

5(n + 8) - 3(-n - 5 = -7n + 4n
$5 n + 40 + 3 n + 15 = - 3 n$
$8 n + 55 = - 3 n$

Now solve the equation using inverse operations.
$8 n - 8 n + 55 = - 3 n - 8 n$
$55 = - 11 n$
$\frac{55}{-} 11 = \frac{- 11 n}{-} 11$
$- 5 = n$