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m+\frac{1}{3}-\frac{9}{3}
Convert 3 to fraction \frac{9}{3}.
m+\frac{1-9}{3}
Since \frac{1}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.
m-\frac{8}{3}
Subtract 9 from 1 to get -8.
\frac{3m-8}{3}
Factor out \frac{1}{3}.
3m-8
Consider 3m+1-9. Multiply and combine like terms.
\frac{3m-8}{3}
Rewrite the complete factored expression.