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2\alpha -\frac{2}{3}\alpha =1
Subtract \frac{2}{3}\alpha from both sides.
\frac{4}{3}\alpha =1
Combine 2\alpha and -\frac{2}{3}\alpha to get \frac{4}{3}\alpha .
\alpha =1\times \frac{3}{4}
Multiply both sides by \frac{3}{4}, the reciprocal of \frac{4}{3}.
\alpha =\frac{3}{4}
Multiply 1 and \frac{3}{4} to get \frac{3}{4}.