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\frac{3\left(a-1\right)}{3}-\frac{m}{3}
To add or subtract expressions, expand them to make their denominators the same. Multiply a-1 times \frac{3}{3}.
\frac{3\left(a-1\right)-m}{3}
Since \frac{3\left(a-1\right)}{3} and \frac{m}{3} have the same denominator, subtract them by subtracting their numerators.
\frac{3a-3-m}{3}
Do the multiplications in 3\left(a-1\right)-m.
\frac{3a-3-m}{3}
Factor out \frac{1}{3}.