Solve -2/5(15-20d+5c)

$$- \frac { 2 } { 5 } ( 15 - 20 d + 5 c )$$

Evaluate

$$-2c+8d-6$$

Solution Steps

Use the distributive property to multiply -\frac{2}{5} by 15-20d+5c.

$$-\frac{2}{5}\times 15-\frac{2}{5}\left(-20\right)d-\frac{2}{5}\times 5c$$

Express -\frac{2}{5}\times 15 as a single fraction.

$$\frac{-2\times 15}{5}-\frac{2}{5}\left(-20\right)d-\frac{2}{5}\times 5c$$

Multiply -2 and 15 to get -30.

$$\frac{-30}{5}-\frac{2}{5}\left(-20\right)d-\frac{2}{5}\times 5c$$

Divide -30 by 5 to get -6.

$$-6-\frac{2}{5}\left(-20\right)d-\frac{2}{5}\times 5c$$

Express -\frac{2}{5}\left(-20\right) as a single fraction.

$$-6+\frac{-2\left(-20\right)}{5}d-\frac{2}{5}\times 5c$$

Multiply -2 and -20 to get 40.

$$-6+\frac{40}{5}d-\frac{2}{5}\times 5c$$

Divide 40 by 5 to get 8.

$$-6+8d-\frac{2}{5}\times 5c$$

Cancel out 5 and 5.

$$-6+8d-2c$$

Expand

$$-2c+8d-6$$

Solution Steps

Use the distributive property to multiply -\frac{2}{5} by 15-20d+5c.

$$-\frac{2}{5}\times 15-\frac{2}{5}\left(-20\right)d-\frac{2}{5}\times 5c$$

Express -\frac{2}{5}\times 15 as a single fraction.

$$\frac{-2\times 15}{5}-\frac{2}{5}\left(-20\right)d-\frac{2}{5}\times 5c$$

Multiply -2 and 15 to get -30.

$$\frac{-30}{5}-\frac{2}{5}\left(-20\right)d-\frac{2}{5}\times 5c$$

Divide -30 by 5 to get -6.

$$-6-\frac{2}{5}\left(-20\right)d-\frac{2}{5}\times 5c$$

Express -\frac{2}{5}\left(-20\right) as a single fraction.

$$-6+\frac{-2\left(-20\right)}{5}d-\frac{2}{5}\times 5c$$

Multiply -2 and -20 to get 40.

$$-6+\frac{40}{5}d-\frac{2}{5}\times 5c$$

Divide 40 by 5 to get 8.

$$-6+8d-\frac{2}{5}\times 5c$$

Cancel out 5 and 5.

$$-6+8d-2c$$