# How do you simplify |7 - (-3)|?

Apr 14, 2017

See the entire solution process below:

#### Explanation:

First, handle the term within parenthesis:

$\left\mid 7 - \left(\textcolor{red}{- 3}\right) \right\mid = \left\mid 7 + \textcolor{red}{3} \right\mid$

Now handle the term within the absolute value function:

$\left\mid \textcolor{b l u e}{7} + \textcolor{red}{3} \right\mid = \left\mid 10 \right\mid$

Now, we handle the the absolute value term. The absolute value function takes any negative or positive term and transforms it to its positive form. Therefore:

$\left\mid 10 \right\mid = 10$