Find the Exact Value |-6|-|6|-(-6)

$| - 6 | - | 6 | - (- 6)$

Step 1

Simplify each term.

The absolute value is the distance between a number and zero. The distance between $- 6$ and $0$ is $6$ .

$6 - | 6 | - (- 6)$

The absolute value is the distance between a number and zero. The distance between $0$ and $6$ is $6$ .

$6 - 1 \cdot 6 - (- 6)$

Multiply $- 1$ by $6$ .

$6 - 6 - (- 6)$

Multiply $- 1$ by $- 6$ .

$6 - 6 + 6$

Step 2

Simplify by adding and subtracting.

Subtract $6$ from $6$ .

$0 + 6$

Add $0$ and $6$ .

$6$