Solve -5-{-41-[9-3+-8*(-7-4d)]+78}

$$- 5 - \{ - 41 - [ 9 - 3 + - 8 \cdot ( - 7 - 4 d ) ] + 78 \}$$

Evaluate

$$32d+20$$

Solution Steps

Subtract 3 from 9 to get 6.

$$-5-\left(-41-\left(6-8\left(-7-4d\right)\right)+78\right)$$

Use the distributive property to multiply -8 by -7-4d.

$$-5-\left(-41-\left(6+56+32d\right)+78\right)$$

Add 6 and 56 to get 62.

$$-5-\left(-41-\left(62+32d\right)+78\right)$$

To find the opposite of 62+32d, find the opposite of each term.

$$-5-\left(-41-62-32d+78\right)$$

Subtract 62 from -41 to get -103.

$$-5-\left(-103-32d+78\right)$$

Add -103 and 78 to get -25.

$$-5-\left(-25-32d\right)$$

To find the opposite of -25-32d, find the opposite of each term.

$$-5-\left(-25\right)-\left(-32d\right)$$

The opposite of -25 is 25.

$$-5+25-\left(-32d\right)$$

The opposite of -32d is 32d.

$$-5+25+32d$$

Add -5 and 25 to get 20.

$$20+32d$$

Expand

$$32d+20$$

Solution Steps

Subtract 3 from 9 to get 6.

$$-5-\left(-41-\left(6-8\left(-7-4d\right)\right)+78\right)$$

Use the distributive property to multiply -8 by -7-4d.

$$-5-\left(-41-\left(6+56+32d\right)+78\right)$$

Add 6 and 56 to get 62.

$$-5-\left(-41-\left(62+32d\right)+78\right)$$

To find the opposite of 62+32d, find the opposite of each term.

$$-5-\left(-41-62-32d+78\right)$$

Subtract 62 from -41 to get -103.

$$-5-\left(-103-32d+78\right)$$

Add -103 and 78 to get -25.

$$-5-\left(-25-32d\right)$$

To find the opposite of -25-32d, find the opposite of each term.

$$-5-\left(-25\right)-\left(-32d\right)$$

The opposite of -25 is 25.

$$-5+25-\left(-32d\right)$$

The opposite of -32d is 32d.

$$-5+25+32d$$

Add -5 and 25 to get 20.

$$20+32d$$