Suppose I have an equation $24\times a \equiv 12 \pmod {26}$. How do you solve this type of equation when the coefficient is not coprime with $26$?
2026-03-26 03:10:57.1774494657
Solving non coprime coefficient equation
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$$\begin{align} 24a&\equiv12\pmod{26}\\ 12a&\equiv6\pmod{13}\\ -a&\equiv6\pmod{13}\\ a&\equiv7\pmod{13} \end{align}$$