Solve -5*[2+(-6+9)*(-6+3-2)]-(77-2)

$$- 5 \cdot [ 2 + ( - 6 + 9 ) \cdot ( - 6 + 3 - 2 ) ] - ( 77 - 2 )$$

Evaluate

$$-10$$

Solution Steps

Add -6 and 9 to get 3.

$$-5\left(2+3\left(-6+3-2\right)\right)-\left(77-2\right)$$

Add -6 and 3 to get -3.

$$-5\left(2+3\left(-3-2\right)\right)-\left(77-2\right)$$

Subtract 2 from -3 to get -5.

$$-5\left(2+3\left(-5\right)\right)-\left(77-2\right)$$

Multiply 3 and -5 to get -15.

$$-5\left(2-15\right)-\left(77-2\right)$$

Subtract 15 from 2 to get -13.

$$-5\left(-13\right)-\left(77-2\right)$$

Multiply -5 and -13 to get 65.

$$65-\left(77-2\right)$$

Subtract 2 from 77 to get 75.

$$65-75$$

Subtract 75 from 65 to get -10.

$$-10$$

Factor

$$-10$$