>>13315110this is used to prepare you for the upcomming math topics by abstracting familiar things.
in other words, get used to this stuff.
also, you will encounter stuff in math that doesn't follow the rules you listed, those are very important later on (inverse of addition).
you should instead ask yourself, what are a and b?
look at thid example: (2+3)mod5=5mod5=0
so 2+3=0 mod5 -> 2= -3 mod 5
this is true and exactly what your statement says.
so broaden your horizon bud
i can't believe no one in this thread actually did any kind of university math