Lebesgue measurable sets are $F_\sigma$ sets up to a null set

Every Lebesgue measurable set differs from an $F_\sigma$ set by a null set.Suggest a slogan

Let $E\subseteq\RR^n$ be Lebesgue measurable. Then $E = H \cup N$ with $H\cap N=\emptyset$, where $H$ is an $F_\sigma$ set and $N$ has Lebesgue measure $0$.