Try this,
line="this"
del=`echo "/"$line"/d"`
sed $del /home/example/fic > /home/example/fic
In your code, you are single quotes while assigning value to variable `del`. which will consider as a static string rather than executing it. We can use backticks or `$()` to execute it.
better way,
line="this"
sed -i "/$line/d" /home/example/fic
* `-i` edit in line.