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20=\frac{9}{2}a
Multiply \frac{1}{2} and 9 to get \frac{9}{2}.
\frac{9}{2}a=20
Swap sides so that all variable terms are on the left hand side.
a=20\times \frac{2}{9}
Multiply both sides by \frac{2}{9}, the reciprocal of \frac{9}{2}.
a=\frac{20\times 2}{9}
Express 20\times \frac{2}{9} as a single fraction.
a=\frac{40}{9}
Multiply 20 and 2 to get 40.