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5q=\frac{3}{4}-\frac{20}{4}
Convert 5 to fraction \frac{20}{4}.
5q=\frac{3-20}{4}
Since \frac{3}{4} and \frac{20}{4} have the same denominator, subtract them by subtracting their numerators.
5q=-\frac{17}{4}
Subtract 20 from 3 to get -17.
q=\frac{-\frac{17}{4}}{5}
Divide both sides by 5.
q=\frac{-17}{4\times 5}
Express \frac{-\frac{17}{4}}{5} as a single fraction.
q=\frac{-17}{20}
Multiply 4 and 5 to get 20.
q=-\frac{17}{20}
Fraction \frac{-17}{20} can be rewritten as -\frac{17}{20} by extracting the negative sign.