# How do you solve 16-2n-5+8n=65?

May 14, 2018

$n = 9$

#### Explanation:

$16 - 2 n - 5 + 8 n = 65$

First, color-code the like terms on the left hand side:
$\textcolor{red}{16} \quad \textcolor{g r e e n}{- \quad 2 n} \quad \textcolor{red}{- \quad 5} \quad \textcolor{g r e e n}{+ \quad 8 n} = 65$

Combine the like terms:
$11 + 6 n = 65$

Subtract $\textcolor{b l u e}{11}$ from both sides:
$11 + 6 n \quad \textcolor{b l u e}{- \quad 11} = 65 \quad \textcolor{b l u e}{- \quad 11}$

$6 n = 54$

Now divide both sides by $\textcolor{b l u e}{6}$:
$\frac{6 n}{\textcolor{b l u e}{6}} = \frac{54}{\textcolor{b l u e}{6}}$

Therefore,
$n = 9$

Hope this helps!