# How do you simplify 1/3n(-6+27m-51p)?

Apr 1, 2017

$- 2 n + 9 m n - 17 n p$

#### Explanation:

Each term in the bracket is $\textcolor{b l u e}{\text{multiplied}}$ by $\textcolor{red}{\frac{1}{3} n = \frac{n}{3}}$

$\left(\textcolor{red}{\frac{n}{\cancel{3}} ^ 1} \times - {\cancel{6}}^{2}\right) + \left(\textcolor{red}{\frac{n}{\cancel{3}} ^ 1} \times {\cancel{27}}^{9} m\right)$

$+ \left(\textcolor{red}{\frac{n}{\cancel{3}} ^ 1} \times - {\cancel{51}}^{17} p\right)$

$= - 2 n + 9 n m - 17 n p$