Solve 6*(-a+8b-7c/4)

$$6 \cdot ( - a + 8 b - 7 \frac { c } { 4 } )$$

Evaluate

$$-\frac{21c}{2}+48b-6a$$

Short Solution Steps

Express 7\times \frac{c}{4} as a single fraction.

$$6\left(-a+8b-\frac{7c}{4}\right)$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -a+8b times \frac{4}{4}.

$$6\left(\frac{4\left(-a+8b\right)}{4}-\frac{7c}{4}\right)$$

Since \frac{4\left(-a+8b\right)}{4} and \frac{7c}{4} have the same denominator, subtract them by subtracting their numerators.

$$6\times \frac{4\left(-a+8b\right)-7c}{4}$$

Do the multiplications in 4\left(-a+8b\right)-7c.

$$6\times \frac{-4a+32b-7c}{4}$$

Express 6\times \frac{-4a+32b-7c}{4} as a single fraction.

$$\frac{6\left(-4a+32b-7c\right)}{4}$$

Use the distributive property to multiply 6 by -4a+32b-7c.

$$\frac{-24a+192b-42c}{4}$$

Expand

$$-\frac{21c}{2}+48b-6a$$

Short Solution Steps

Express 7\times \frac{c}{4} as a single fraction.

$$6\left(-a+8b-\frac{7c}{4}\right)$$

To add or subtract expressions, expand them to make their denominators the same. Multiply -a+8b times \frac{4}{4}.

$$6\left(\frac{4\left(-a+8b\right)}{4}-\frac{7c}{4}\right)$$

Since \frac{4\left(-a+8b\right)}{4} and \frac{7c}{4} have the same denominator, subtract them by subtracting their numerators.

$$6\times \frac{4\left(-a+8b\right)-7c}{4}$$

Do the multiplications in 4\left(-a+8b\right)-7c.

$$6\times \frac{-4a+32b-7c}{4}$$

Express 6\times \frac{-4a+32b-7c}{4} as a single fraction.

$$\frac{6\left(-4a+32b-7c\right)}{4}$$

Use the distributive property to multiply 6 by -4a+32b-7c.

$$\frac{-24a+192b-42c}{4}$$