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

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

Evaluate

$$8$$

Solution Steps

Add -2 and 6 to get 4.

$$4\left(4-\left(1-2\left(-5+1\right)-3\right)+4\right)$$

Add -5 and 1 to get -4.

$$4\left(4-\left(1-2\left(-4\right)-3\right)+4\right)$$

Multiply 2 and -4 to get -8.

$$4\left(4-\left(1-\left(-8\right)-3\right)+4\right)$$

The opposite of -8 is 8.

$$4\left(4-\left(1+8-3\right)+4\right)$$

Add 1 and 8 to get 9.

$$4\left(4-\left(9-3\right)+4\right)$$

Subtract 3 from 9 to get 6.

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

Subtract 6 from 4 to get -2.

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

Add -2 and 4 to get 2.

$$4\times 2$$

Multiply 4 and 2 to get 8.

$$8$$

Factor

$$2^{3}$$