Solve -8-{4-5+[3-(1-7)+(6-9)]+2}

$$- 8 - \{ 4 - 5 + [ 3 - ( 1 - 7 ) + ( 6 - 9 ) ] + 2 \}$$

Evaluate

$$-15$$

Solution Steps

Subtract 5 from 4 to get -1.

$$-8-\left(-1+3-\left(1-7\right)+6-9+2\right)$$

Subtract 7 from 1 to get -6.

$$-8-\left(-1+3-\left(-6\right)+6-9+2\right)$$

The opposite of -6 is 6.

$$-8-\left(-1+3+6+6-9+2\right)$$

Add 3 and 6 to get 9.

$$-8-\left(-1+9+6-9+2\right)$$

Add -1 and 9 to get 8.

$$-8-\left(8+6-9+2\right)$$

Add 8 and 6 to get 14.

$$-8-\left(14-9+2\right)$$

Subtract 9 from 14 to get 5.

$$-8-\left(5+2\right)$$

Add 5 and 2 to get 7.

$$-8-7$$

Subtract 7 from -8 to get -15.

$$-15$$

Factor

$$-15$$