Solve 2-3(4-7)+2(-4-6+6)(-3-9)-2+5+7

$$2 - 3 ( 4 - 7 ) + 2 ( - 4 - 6 + 6 ) ( - 3 - 9 ) - 2 + 5 + 7$$

Evaluate

$$117$$

Solution Steps

Subtract 7 from 4 to get -3.

$$2-3\left(-3\right)+2\left(-4-6+6\right)\left(-3-9\right)-2+5+7$$

Multiply 3 and -3 to get -9.

$$2-\left(-9\right)+2\left(-4-6+6\right)\left(-3-9\right)-2+5+7$$

The opposite of -9 is 9.

$$2+9+2\left(-4-6+6\right)\left(-3-9\right)-2+5+7$$

Add 2 and 9 to get 11.

$$11+2\left(-4-6+6\right)\left(-3-9\right)-2+5+7$$

Subtract 6 from -4 to get -10.

$$11+2\left(-10+6\right)\left(-3-9\right)-2+5+7$$

Add -10 and 6 to get -4.

$$11+2\left(-4\right)\left(-3-9\right)-2+5+7$$

Multiply 2 and -4 to get -8.

$$11-8\left(-3-9\right)-2+5+7$$

Subtract 9 from -3 to get -12.

$$11-8\left(-12\right)-2+5+7$$

Multiply -8 and -12 to get 96.

$$11+96-2+5+7$$

Add 11 and 96 to get 107.

$$107-2+5+7$$

Subtract 2 from 107 to get 105.

$$105+5+7$$

Add 105 and 5 to get 110.

$$110+7$$

Add 110 and 7 to get 117.

$$117$$

Factor

$$3^{2}\times 13$$