Solve {l}{[7-(6-2)]-(3-1)}{-6*([-32div8+(9-27)]-14]-(-2)}

$$\left. \begin{array} { l } { [ 7 - ( 6 - 2 ) ] - ( 3 - 1 ) } \\ { - 6 \cdot ( [ - 32 \div 8 + ( 9 - 27 ) ] - 14 ] - ( - 2 ) } \end{array} \right.$$

Evaluate

$$219$$

Solution Steps

Subtract 2 from 6 to get 4.

$$7-4-\left(3-1\right)-6\left(\frac{-32}{8}+9-27-14\right)-\left(-2\right)$$

Subtract 4 from 7 to get 3.

$$3-\left(3-1\right)-6\left(\frac{-32}{8}+9-27-14\right)-\left(-2\right)$$

Subtract 1 from 3 to get 2.

$$3-2-6\left(\frac{-32}{8}+9-27-14\right)-\left(-2\right)$$

Subtract 2 from 3 to get 1.

$$1-6\left(\frac{-32}{8}+9-27-14\right)-\left(-2\right)$$

Divide -32 by 8 to get -4.

$$1-6\left(-4+9-27-14\right)-\left(-2\right)$$

Add -4 and 9 to get 5.

$$1-6\left(5-27-14\right)-\left(-2\right)$$

Subtract 27 from 5 to get -22.

$$1-6\left(-22-14\right)-\left(-2\right)$$

Subtract 14 from -22 to get -36.

$$1-6\left(-36\right)-\left(-2\right)$$

Multiply 6 and -36 to get -216.

$$1-\left(-216\right)-\left(-2\right)$$

The opposite of -216 is 216.

$$1+216-\left(-2\right)$$

Add 1 and 216 to get 217.

$$217-\left(-2\right)$$

The opposite of -2 is 2.

$$217+2$$

Add 217 and 2 to get 219.

$$219$$

Factor

$$3\times 73$$