# How do you simplify -|3 - 7| + |-4 +5| + |-6 -2| - |3| ?

May 27, 2016

$- | 3 - 7 | + | - 4 + 5 | + | - 6 - 2 | - | 3 | = 2$

#### Explanation:

If $a < 0$ i.e. $a$ is negative then $| a | = - a$, and if $a > 0$ i.e. $a$ is positive then $| a | = a$, meaning that when we take value of $| a |$, we just remove the sign and $| a |$ is positive whether $a$ is negative or positive.

Hence $- | 3 - 7 | + | - 4 + 5 | + | - 6 - 2 | - | 3 |$

= $- | - 4 | + | 1 | + | - 8 | - | 3 |$

= $- 4 + 1 + 8 - 3$

Now adding positive and negative values separately, above is equal to

$9 - 7$

=$2$