Solve 46-{38-(-2)+-9+(42-18+-15)-(-7)}=

$$46 - \{ 38 - ( - 2 ) + - 9 + ( 42 - 18 + - 15 ) - ( - 7 ) \} =$$

Evaluate

$$-1$$

Solution Steps

The opposite of -2 is 2.

$$46-\left(38+2-9+42-18-15-\left(-7\right)\right)$$

Add 38 and 2 to get 40.

$$46-\left(40-9+42-18-15-\left(-7\right)\right)$$

Subtract 9 from 40 to get 31.

$$46-\left(31+42-18-15-\left(-7\right)\right)$$

Add 31 and 42 to get 73.

$$46-\left(73-18-15-\left(-7\right)\right)$$

Subtract 18 from 73 to get 55.

$$46-\left(55-15-\left(-7\right)\right)$$

Subtract 15 from 55 to get 40.

$$46-\left(40-\left(-7\right)\right)$$

The opposite of -7 is 7.

$$46-\left(40+7\right)$$

Add 40 and 7 to get 47.

$$46-47$$

Subtract 47 from 46 to get -1.

$$-1$$

Factor

$$-1$$