Question

Solve for n:2 (5 – 3n) + 13n = 38

Answer 1

n = 4

Explanation:$2(5-3n)+13n=38$

Expanding the parenthesis:

$\begin{gathered} 2(5)\text{ -2(3n) + 13n = 38} \\ 10\text{ - 6n + 13n = 38} \\ \text{collect like terms:} \\ 10\text{+7n = 38} \end{gathered}$

subtract 10 from both sides

$\begin{gathered} 10\text{ - 10 + 7n = 38 - 10} \\ 7n\text{ = 28} \end{gathered}$

divide both sides by -7:

$\begin{gathered} \frac{7n}{7}=\frac{28}{7} \\ n\text{ = 4} \end{gathered}$