Simplify 3|-(6-4)|+2|1+3|

$3 | - (6 - 4) | + 2 | 1 + 3 |$

Step 1

Simplify each term.

Subtract $4$ from $6$ .

$3 | - 1 \cdot 2 | + 2 | 1 + 3 |$

Multiply $- 1$ by $2$ .

$3 | - 2 | + 2 | 1 + 3 |$

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

$3 \cdot 2 + 2 | 1 + 3 |$

Multiply $3$ by $2$ .

$6 + 2 | 1 + 3 |$

Add $1$ and $3$ .

$6 + 2 | 4 |$

The absolute value is the distance between a number and zero. The distance between $0$ and $4$ is $4$ .

$6 + 2 \cdot 4$

Multiply $2$ by $4$ .

$6 + 8$

Step 2

Add $6$ and $8$ .

$14$