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\frac{2\left(5a-1\right)}{12}-\frac{3\left(3a-1\right)}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 4 is 12. Multiply \frac{5a-1}{6} times \frac{2}{2}. Multiply \frac{3a-1}{4} times \frac{3}{3}.
\frac{2\left(5a-1\right)-3\left(3a-1\right)}{12}
Since \frac{2\left(5a-1\right)}{12} and \frac{3\left(3a-1\right)}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{10a-2-9a+3}{12}
Do the multiplications in 2\left(5a-1\right)-3\left(3a-1\right).
\frac{a+1}{12}
Combine like terms in 10a-2-9a+3.
\frac{2\left(5a-1\right)}{12}-\frac{3\left(3a-1\right)}{12}
To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 6 and 4 is 12. Multiply \frac{5a-1}{6} times \frac{2}{2}. Multiply \frac{3a-1}{4} times \frac{3}{3}.
\frac{2\left(5a-1\right)-3\left(3a-1\right)}{12}
Since \frac{2\left(5a-1\right)}{12} and \frac{3\left(3a-1\right)}{12} have the same denominator, subtract them by subtracting their numerators.
\frac{10a-2-9a+3}{12}
Do the multiplications in 2\left(5a-1\right)-3\left(3a-1\right).
\frac{a+1}{12}
Combine like terms in 10a-2-9a+3.