Solve left|-5right|-left|-15right|-left|-20right|+left|7right|

$$\left| -5 \right| - \left| -15 \right| - \left| -20 \right| + \left| 7 \right|$$

Evaluate

$$-23$$

Solution Steps

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -5 is 5.

$$5-|-15|-|-20|+|7|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -15 is 15.

$$5-15-|-20|+|7|$$

Subtract 15 from 5 to get -10.

$$-10-|-20|+|7|$$

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.

$$-10-20+|7|$$

Subtract 20 from -10 to get -30.

$$-30+|7|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 7 is 7.

$$-30+7$$

Add -30 and 7 to get -23.

$$-23$$

Factor

$$-23$$