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If I have a modulo operation like this:

$$(a ( b+cd ) ) \equiv 0 \pmod{e},$$

How can I derive $c$ in term of other variables present here. I.e. What function $f$ can be used such that:

$$c = f (a,b,d,e) $$

And what is the implication of a mod operation's result being $0$ in terms of simplifying the equation.

Thank you very much for your time.

2 Answers 2