Evaluate 2|2-9|-3(4+2)

$2 | 2 - 9 | - 3 (4 + 2)$

Simplify each term.

Subtract $9$ from $2$ .

$2 | - 7 | - 3 (4 + 2)$

The absolute value is the distance between a number and zero. The distance between $- 7$ and $0$ is $7$ .

$2 \cdot 7 - 3 (4 + 2)$

Multiply $2$ by $7$ .

$14 - 3 (4 + 2)$

Add $4$ and $2$ .

$14 - 3 \cdot 6$

Multiply $- 3$ by $6$ .

$14 - 18$

Subtract $18$ from $14$ .

$- 4$