Users LMDE you may encounter a very curious situation in the configuration of the network card.
Normally the default network interface in Debian, Ubuntu and others, is eth0, but when installing LMDE this number runs and becomes eth1. In my case, I have 2 network cards, eth0 y eth1, they become eth1 y eth2 respectively.
I started searching and the solution I found for this is to remove the package dnet-common if installed.
$ sudo aptitude purge dnet-common
We reboot and everything should work again.