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Solve for n_30
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8in_{30}=-1
Subtract 1 from both sides. Anything subtracted from zero gives its negation.
n_{30}=\frac{-1}{8i}
Divide both sides by 8i.
n_{30}=\frac{-i}{8i^{2}}
Multiply both numerator and denominator of \frac{-1}{8i} by imaginary unit i.
n_{30}=\frac{-i}{-8}
By definition, i^{2} is -1. Calculate the denominator.
n_{30}=\frac{1}{8}i
Divide -i by -8 to get \frac{1}{8}i.