Alright, I can go through and solve equations that do not have the "$+ c$" involved, i.e.: $ax \equiv b \mod{n}$. However, I do not know what to do when a "$+ c$" is incorporated. How does that $c$ affect the final answer / the process?
My best guess would be when pulling back to integers, without "$+ c$" you would get: $ax + ny = b$.
So do I simply need to subtract the c and move it to the right hand side? $ax + ny = b - c$.
Thanks in advance!
Sean