What is the name of the fuse that keeps blowing? The reverse lamp relay is activated from the rear integration module, which grounds the relay. That relay then controls the lighting for the backup lights. It also sends a voltage to the inside auto-dimming rear view mirror (if you have one), to shut off the dimming while in reverse. You could have an intermittent problem in the wiring for that.
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Black 2000 SSEi, Silverstar Headlights, Angel Eyes fogs, 3rd brake light overlay, hi-flo cat, drilled 180 degree thermostat, Intense FWI, PCM, shift kit, and 3.4 Pulley. Solid front mount.