Evaluate 4(-2)-|3(-3)+2(2)|

$4 (- 2) - | 3 (- 3) + 2 (2) |$

Simplify each term.

Multiply $4$ by $- 2$ .

$- 8 - | 3 (- 3) + 2 (2) |$

Simplify each term.

Multiply $3$ by $- 3$ .

$- 8 - | - 9 + 2 (2) |$

Multiply $2$ by $2$ .

$- 8 - | - 9 + 4 |$

Add $- 9$ and $4$ .

$- 8 - | - 5 |$

The absolute value is the distance between a number and zero. The distance between $- 5$ and $0$ is $5$ .

$- 8 - 1 \cdot 5$

Multiply $- 1$ by $5$ .

$- 8 - 5$

Subtract $5$ from $- 8$ .

$- 13$