# How do you simplify 8[-5 + 8(-7 + 2)]?

Jul 13, 2016

$- 360$

#### Explanation:

Count the number of terms first. There is only one term.

Count the number of terms inside the parentheses,
There are 2 terms.
Simplify each term separately. Calculate inside the parentheses first.

=$8 \left[\textcolor{b l u e}{- 5} + 8 \textcolor{m a \ge n t a}{\left(- 7 + 2\right)}\right]$

=$8 \left[\textcolor{b l u e}{- 5} + \textcolor{m a \ge n t a}{8 \left(- 5\right)}\right] \text{ now multiply}$

=$8 \left[\textcolor{b l u e}{- 5} \textcolor{m a \ge n t a}{- 40}\right] \text{ calculate inside the parentheses}$

=$8 \left[\textcolor{\mathmr{and} a n \ge}{- 45}\right] \text{ now do the final multiplication}$

= $8 \times - 45 = - 360$