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Evaluate 4|-2|-|-3|

$4 | - 2 | - | - 3 |$

Step 1

Simplify each term.

The absolute value is the distance between a number and zero. The distance between $- 2$ and $0$ is $2$ .

$4 \cdot 2 - | - 3 |$

Multiply $4$ by $2$ .

$8 - | - 3 |$

The absolute value is the distance between a number and zero. The distance between $- 3$ and $0$ is $3$ .

$8 - 1 \cdot 3$

Multiply $- 1$ by $3$ .

$8 - 3$

$8 - 3$

Step 2

Subtract $3$ from $8$ .

$5$

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