Solve -6+{3-[4-2(4-7)]}

$$- 6 + \{ 3 - [ 4 - 2 ( 4 - 7 ) ] \}$$

Evaluate

$$-13$$

Solution Steps

Subtract 7 from 4 to get -3.

$$-6+3-\left(4-2\left(-3\right)\right)$$

Multiply 2 and -3 to get -6.

$$-6+3-\left(4-\left(-6\right)\right)$$

The opposite of -6 is 6.

$$-6+3-\left(4+6\right)$$

Add 4 and 6 to get 10.

$$-6+3-10$$

Subtract 10 from 3 to get -7.

$$-6-7$$

Subtract 7 from -6 to get -13.

$$-13$$

Factor

$$-13$$