Solve -701-|(-6-4)-(-3-1)+2|+{16-|(8+3)-(10-43)|}

$$- 701 - | ( - 6 - 4 ) - ( - 3 - 1 ) + 2 | + \{ 16 - | ( 8 + 3 ) - ( 10 - 43 ) | \}$$

Evaluate

$$-733$$

Solution Steps

Subtract 4 from -6 to get -10.

$$-701-|-10-\left(-3-1\right)+2|+16-|8+3-\left(10-43\right)|$$

Subtract 1 from -3 to get -4.

$$-701-|-10-\left(-4\right)+2|+16-|8+3-\left(10-43\right)|$$

The opposite of -4 is 4.

$$-701-|-10+4+2|+16-|8+3-\left(10-43\right)|$$

Add -10 and 4 to get -6.

$$-701-|-6+2|+16-|8+3-\left(10-43\right)|$$

Add -6 and 2 to get -4.

$$-701-|-4|+16-|8+3-\left(10-43\right)|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of -4 is 4.

$$-701-4+16-|8+3-\left(10-43\right)|$$

Subtract 4 from -701 to get -705.

$$-705+16-|8+3-\left(10-43\right)|$$

Add 8 and 3 to get 11.

$$-705+16-|11-\left(10-43\right)|$$

Subtract 43 from 10 to get -33.

$$-705+16-|11-\left(-33\right)|$$

The opposite of -33 is 33.

$$-705+16-|11+33|$$

Add 11 and 33 to get 44.

$$-705+16-|44|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of 44 is 44.

$$-705+16-44$$

Subtract 44 from 16 to get -28.

$$-705-28$$

Subtract 28 from -705 to get -733.

$$-733$$

Factor

$$-733$$