less common failure 84-87 is the ''limit switches'' inside the headlight motor (mine did it , right side only, long ago)...the drive assembly is ''spring loaded'' and major parts of the assy ''move'' when travel of the rotating headlight reaches an ''end stop'', directly activating ''contacts'' in the assy to interrupt current flow to the motor (these contacts/moving parts were replaced for 88-96 by the remote controller)...''contacts'' in my motor had ''welded'' shut, simple repair with no new parts, minor learning curve to open the motor assy.
relatively simple mod to wire the 84-87 units to use the 88+ remote controller and the early internal limit switches can be left in place.
headlight assy is held in the car by (4) nuts and (2) hex head screws, a ''deep'' 10mm socket gets all -- and a few electrical wire clips/ connectors...elec connectors on early c4's are internally notched to prevent incorrect hook-up, altho externally the connectors look identical...not really reqd, but removing the inner fender (attached to the hood by eight torx head screws) only takes a couple of minutes and makes headlight assy r&r AND alignment in the hood opening easier for rookies.
this is one of those things that looks much, much harder to work on than it is.