Solve (65-|41-42|+(-37)-(-11))+(-23)

$$( 65 - | 41 - 42 | + ( - 37 ) - ( - 11 ) ) + ( - 23 )$$

Evaluate

$$15$$

Solution Steps

Subtract 42 from 41 to get -1.

$$65-|-1|-37-\left(-11\right)-23$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -1 is 1.

$$65-1-37-\left(-11\right)-23$$

Subtract 1 from 65 to get 64.

$$64-37-\left(-11\right)-23$$

Subtract 37 from 64 to get 27.

$$27-\left(-11\right)-23$$

The opposite of -11 is 11.

$$27+11-23$$

Add 27 and 11 to get 38.

$$38-23$$

Subtract 23 from 38 to get 15.

$$15$$

Factor

$$3\times 5$$