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-\frac{24}{45}-\frac{8}{45}
Least common multiple of 15 and 45 is 45. Convert -\frac{8}{15} and \frac{8}{45} to fractions with denominator 45.
\frac{-24-8}{45}
Since -\frac{24}{45} and \frac{8}{45} have the same denominator, subtract them by subtracting their numerators.
-\frac{32}{45}
Subtract 8 from -24 to get -32.