1990 Z32 Won't Crank

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Hello NicoClub! Recently I had performed the timing belt service on my car, and went for a test drive. The car ended up dying 2 blocks down and had to get a tow home. I figured it was the battery because I had the car sitting for a few months. Today I got a new battery, all my lights come on, but I still can't get it to start. When I turn the key to start without trying to crank it, there is a continuous clicking sound. I checked the fuses for the ignition, double checked battery terminals, and checked whatever relays I could, with nothing seeming to be the problem. Any suggestions?