# How do you solve 15n+16+4n=130?

Mar 3, 2018

$n = 6$

#### Explanation:

first, combine like terms

$\textcolor{red}{15 n} + 16 + \textcolor{red}{4 n} = 130$

$\textcolor{red}{19 n} + 16 = 130$

then, subtract 16 from each side

$19 n + 16 \textcolor{red}{- 16} = 130 \textcolor{red}{- 16}$

$19 n = 114$

finally, divide both sides by 19

$\frac{19 n}{\textcolor{red}{19}} = \frac{114}{\textcolor{red}{19}}$

$\frac{\cancel{19} n}{\cancel{19}} = \frac{114}{19}$

$n = \frac{114}{19}$

$n = 6$

Mar 3, 2018

$n = 6$

#### Explanation:

$15 n + 16 + 4 n = 130$

Start by simplifying the equation

$19 n + 16 = 130$

Subtract $16$ from both sides

$19 n + 16 - 16 = 130 - 16$

$19 n = 114$

Divide both sides by $19$

$\frac{19 n}{19} = \frac{114}{19}$

$n = 6 \text{ }$ (Ans)