My brake lights won't work; the plastic ends of the bulbs keep burning out on 2002 Pontiac Montana

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The center brake light works fine. The problem is with the two rear brake lights. They constantly burn out. Every time I replace the bulbs, they work for a short while, but very soon they stop lighting. When I check the bulbs the plastic base with the thin wiring are all melted and have a burning smell. What can I do?
(1) Answer
I would suggest that your replace the rear light socket plates as well as the bulbs on your 2002 Pontiac Montana. If the base of the bulb is melted chances are the sockets are damaged as well.