# How do you simplify 2[-50-(-74-16)] ?

Jul 28, 2015

You use the order of operations to get a final value of $80$.

#### Explanation:

Your expression looks like this

$2 \cdot \left[- 50 - \left(- 74 - 16\right)\right]$

The order of operations (think PEMDAS) tells you that parantheses come first, followed by exponents, multiplication/divison, and addition/subtraction.

Your expression has two parantheses which must be solved first. The first paranthesis has

$\left(- 74 - 16\right) = - 90$

The expression now becomes

$2 \cdot \left(- 50 - \left(- 90\right)\right] = 2 \cdot \left(- 50 + 90\right)$

Next comes the second paranthesis

$\left(- 50 + 90\right) = 40$

The expression now becomes

$2 \cdot 40 = 80$

Therefore,

$2 \cdot \left[- 50 - \left(- 74 - 16\right)\right] = \textcolor{g r e e n}{80}$