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For any integers
\(a\text{,}\)
\(b\text{,}\)
and
\(n\text{,}\)
we have
\begin{equation*} a \equiv b \pmod{n} \qquad \text{ if and only if } \qquad a = b + kn \mbox{ for some integer } k \text{.} \end{equation*}
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