How solve $[20]_3^{-1}$?

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What does this mean, $[20]_3^{-1}$? it's from the topic rings, fields and residue classes.

Can you give me a hint how to solve this?

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This means inverse of $20$ in the group of residue classes of module $3$. In other words you should find number $x$ that $x\times20\equiv1 \mod 3$.