Simplify (u-v)/(8v)+(6u-3v)/(8v)

$\frac{u - v}{8 v} + \frac{6 u - 3 v}{8 v}$

Combine the numerators over the common denominator.

$\frac{u - v + 6 u - 3 v}{8 v}$

Simplify the numerator.

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Add $u$ and $6 u$ .

$\frac{7 u - v - 3 v}{8 v}$

Subtract $3 v$ from $- v$ .

$\frac{7 u - 4 v}{8 v}$

Simplify (u-v)/(8v)+(6u-3v)/(8v)

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