  We generalize previous approach of Khrapak and Morfill [J. Chem. Phys. {\bf
134}, 094108 (2011)] to construct simple and sufficiently accurate freezing and
melting equations for the conventional Lennard-Jones (LJ) system to $n$-6 LJ
systems, using the accurate results for the triple points of these systems
published by Sousa {\it et al.} [J. Chem. Phys. {\bf 136}, 174502 (2012)].
