Evaluate -10+2|6*(-7)|

$- 10 + 2 | 6 \cdot (- 7) |$

Step 1

Simplify each term.

Multiply $6$ by $- 7$ .

$- 10 + 2 | - 42 |$

The absolute value is the distance between a number and zero. The distance between $- 42$ and $0$ is $42$ .

$- 10 + 2 \cdot 42$

Multiply $2$ by $42$ .

$- 10 + 84$

Step 2

Add $- 10$ and $84$ .

$74$