Let $\mathfrak{m}_1$ and $\mathfrak{m}_2$ be left maximal ideals of a unital ring $A$. Show that the simple modules $A/\mathfrak{m}_1$ and$A/\mathfrak{m}_2$ are isomorphic if and only if there exist $a\in A\setminus \mathfrak{m}_2$ so that $\mathfrak{m}_1 a \subseteq \mathfrak{m}_2$.
I don't really know how to begin, I'd love some help.