Solve -2(7k-3m)-4*{-4*[-4(k+m)]-(k+m)}

$$- 2 ( 7 k - 3 m ) - 4 \cdot \{ - 4 \cdot [ - 4 ( k + m ) ] - ( k + m ) \}$$

Evaluate

$$-54m-74k$$

Solution Steps

Use the distributive property to multiply -2 by 7k-3m.

$$-14k+6m-4\left(-4\left(-4\right)\left(k+m\right)-\left(k+m\right)\right)$$

Multiply -4 and -4 to get 16.

$$-14k+6m-4\left(16\left(k+m\right)-\left(k+m\right)\right)$$

Use the distributive property to multiply 16 by k+m.

$$-14k+6m-4\left(16k+16m-\left(k+m\right)\right)$$

To find the opposite of k+m, find the opposite of each term.

$$-14k+6m-4\left(16k+16m-k-m\right)$$

Combine 16k and -k to get 15k.

$$-14k+6m-4\left(15k+16m-m\right)$$

Combine 16m and -m to get 15m.

$$-14k+6m-4\left(15k+15m\right)$$

Use the distributive property to multiply -4 by 15k+15m.

$$-14k+6m-60k-60m$$

Combine -14k and -60k to get -74k.

$$-74k+6m-60m$$

Combine 6m and -60m to get -54m.

$$-74k-54m$$

Expand

$$-54m-74k$$

Solution Steps

Use the distributive property to multiply -2 by 7k-3m.

$$-14k+6m-4\left(-4\left(-4\right)\left(k+m\right)-\left(k+m\right)\right)$$

Multiply -4 and -4 to get 16.

$$-14k+6m-4\left(16\left(k+m\right)-\left(k+m\right)\right)$$

Use the distributive property to multiply 16 by k+m.

$$-14k+6m-4\left(16k+16m-\left(k+m\right)\right)$$

To find the opposite of k+m, find the opposite of each term.

$$-14k+6m-4\left(16k+16m-k-m\right)$$

Combine 16k and -k to get 15k.

$$-14k+6m-4\left(15k+16m-m\right)$$

Combine 16m and -m to get 15m.

$$-14k+6m-4\left(15k+15m\right)$$

Use the distributive property to multiply -4 by 15k+15m.

$$-14k+6m-60k-60m$$

Combine -14k and -60k to get -74k.

$$-74k+6m-60m$$

Combine 6m and -60m to get -54m.

$$-74k-54m$$