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Hi, I'm Nathan.Sorry to hear that you're having trouble with this but I'll do my best to help you.
I would suspect that your answering machine isn't actually the problem here, and is probably working just fine.
I'd like you to test something for me please: could you please unplug both the power cord and phone line going to your answering machine, and then call your home number from another phone (like your cell phone) and let me know if you still hear that "full message" you mentioned earlier.
Can you also tell me the model of your phone (starts with kx-tg) and who your phone provider/carrier is?