Solve -2/3(6a-9)

$$\frac { - 2 } { 3 } ( 6 a - 9 )$$

Evaluate

$$6-4a$$

Solution Steps

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-\frac{2}{3}\left(6a-9\right)$$

Use the distributive property to multiply -\frac{2}{3} by 6a-9.

$$-\frac{2}{3}\times 6a-\frac{2}{3}\left(-9\right)$$

Express -\frac{2}{3}\times 6 as a single fraction.

$$\frac{-2\times 6}{3}a-\frac{2}{3}\left(-9\right)$$

Multiply -2 and 6 to get -12.

$$\frac{-12}{3}a-\frac{2}{3}\left(-9\right)$$

Divide -12 by 3 to get -4.

$$-4a-\frac{2}{3}\left(-9\right)$$

Express -\frac{2}{3}\left(-9\right) as a single fraction.

$$-4a+\frac{-2\left(-9\right)}{3}$$

Multiply -2 and -9 to get 18.

$$-4a+\frac{18}{3}$$

Divide 18 by 3 to get 6.

$$-4a+6$$

Expand

$$6-4a$$

Solution Steps

Fraction \frac{-2}{3} can be rewritten as -\frac{2}{3} by extracting the negative sign.

$$-\frac{2}{3}\left(6a-9\right)$$

Use the distributive property to multiply -\frac{2}{3} by 6a-9.

$$-\frac{2}{3}\times 6a-\frac{2}{3}\left(-9\right)$$

Express -\frac{2}{3}\times 6 as a single fraction.

$$\frac{-2\times 6}{3}a-\frac{2}{3}\left(-9\right)$$

Multiply -2 and 6 to get -12.

$$\frac{-12}{3}a-\frac{2}{3}\left(-9\right)$$

Divide -12 by 3 to get -4.

$$-4a-\frac{2}{3}\left(-9\right)$$

Express -\frac{2}{3}\left(-9\right) as a single fraction.

$$-4a+\frac{-2\left(-9\right)}{3}$$

Multiply -2 and -9 to get 18.

$$-4a+\frac{18}{3}$$

Divide 18 by 3 to get 6.

$$-4a+6$$