Simplify 22-3|-3(2+1)+4|

$22 - 3 | - 3 (2 + 1) + 4 |$

Simplify each term.

Add $2$ and $1$ .

$22 - 3 | - 3 \cdot 3 + 4 |$

Multiply $- 3$ by $3$ .

$22 - 3 | - 9 + 4 |$

Add $- 9$ and $4$ .

$22 - 3 | - 5 |$

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

$22 - 3 \cdot 5$

Multiply $- 3$ by $5$ .

$22 - 15$

Subtract $15$ from $22$ .

$7$