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The latch broke on my Easyshare Z981 battery cover, can it be replaced?

It can be replaced. Here is a guide for removing the bottom panel and the battery door: Kodak Easyshare Z981 Bottom Panel Replacement I’ve not been able to locate a replacement batter door. I would keep an eye out on eBay, as they have lots of EasyShare battery doors - just not the Z981 at this time.