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\frac{4}{3}-8+\left(\frac{5}{4}-\frac{1}{3}\right)i
Subtract 8+\frac{1}{3}i from \frac{4}{3}+\frac{5}{4}i by subtracting corresponding real and imaginary parts.
-\frac{20}{3}+\frac{11}{12}i
Subtract 8 from \frac{4}{3}. Subtract \frac{1}{3} from \frac{5}{4}.
Re(\frac{4}{3}-8+\left(\frac{5}{4}-\frac{1}{3}\right)i)
Subtract 8+\frac{1}{3}i from \frac{4}{3}+\frac{5}{4}i by subtracting corresponding real and imaginary parts.
Re(-\frac{20}{3}+\frac{11}{12}i)
Subtract 8 from \frac{4}{3}. Subtract \frac{1}{3} from \frac{5}{4}.
-\frac{20}{3}
The real part of -\frac{20}{3}+\frac{11}{12}i is -\frac{20}{3}.