$ sudo apt-get update
$ sudo apt-get install liblwp-authen-negotiate-perl 

liblwp-authen-negotiate-perl is installed in your system.

Make ensure the liblwp-authen-negotiate-perl package were installed using the commands given below,

$ sudo dpkg-query -l | grep liblwp-authen-negotiate-perl *

You will get with liblwp-authen-negotiate-perl package name, version, architecture and description in a table

liblwp-authen-negotiate-perl package basic information: