Simplify 10-3|9-3(3-1)|

$10 - 3 | 9 - 3 (3 - 1) |$

Simplify each term.

Subtract $1$ from $3$ .

$10 - 3 | 9 - 3 \cdot 2 |$

Multiply $- 3$ by $2$ .

$10 - 3 | 9 - 6 |$

Subtract $6$ from $9$ .

$10 - 3 | 3 |$

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

$10 - 3 \cdot 3$

Multiply $- 3$ by $3$ .

$10 - 9$

Subtract $9$ from $10$ .

$1$