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6\left(-a+8b-\frac{7c}{4}\right)
Express 7\times \frac{c}{4} as a single fraction.
6\left(\frac{4\left(-a+8b\right)}{4}-\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\times \frac{4\left(-a+8b\right)-7c}{4}
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{-4a+32b-7c}{4}
Do the multiplications in 4\left(-a+8b\right)-7c.
\frac{6\left(-4a+32b-7c\right)}{4}
Express 6\times \frac{-4a+32b-7c}{4} as a single fraction.
\frac{-24a+192b-42c}{4}
Use the distributive property to multiply 6 by -4a+32b-7c.
6\left(-a+8b-\frac{7c}{4}\right)
Express 7\times \frac{c}{4} as a single fraction.
6\left(\frac{4\left(-a+8b\right)}{4}-\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\times \frac{4\left(-a+8b\right)-7c}{4}
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{-4a+32b-7c}{4}
Do the multiplications in 4\left(-a+8b\right)-7c.
\frac{6\left(-4a+32b-7c\right)}{4}
Express 6\times \frac{-4a+32b-7c}{4} as a single fraction.
\frac{-24a+192b-42c}{4}
Use the distributive property to multiply 6 by -4a+32b-7c.