Solve |-24+38|-|-16-(-2*1)|*|1-(-19)|=

$$| - 24 + 38 | - | - 16 - ( - 2 \cdot 1 ) | \cdot | 1 - ( - 19 ) | =$$

Evaluate

$$-266$$

Solution Steps

Add -24 and 38 to get 14.

$$|14|-|-16-\left(-2\right)||1-\left(-19\right)|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 14 is 14.

$$14-|-16-\left(-2\right)||1-\left(-19\right)|$$

The opposite of -2 is 2.

$$14-|-16+2||1-\left(-19\right)|$$

Add -16 and 2 to get -14.

$$14-|-14||1-\left(-19\right)|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -14 is 14.

$$14-14|1-\left(-19\right)|$$

The opposite of -19 is 19.

$$14-14|1+19|$$

Add 1 and 19 to get 20.

$$14-14|20|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 20 is 20.

$$14-14\times 20$$

Multiply 14 and 20 to get 280.

$$14-280$$

Subtract 280 from 14 to get -266.

$$-266$$

Factor

$$-266$$