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\frac{2\left(2a-2\right)}{a-1}
Divide \frac{2}{a-1} by \frac{1}{2a-2} by multiplying \frac{2}{a-1} by the reciprocal of \frac{1}{2a-2}.
\frac{2^{2}\left(a-1\right)}{a-1}
Factor the expressions that are not already factored.
2^{2}
Cancel out a-1 in both numerator and denominator.
4
Calculate 2 to the power of 2 and get 4.