What is the best way to clean our Bunn coffee maker?

The best way to clean a machine like this out is to actually run a full empty brew of a half water half vinegar solution. This will completely clean out the lines inside the machine and freshen everything up quite a bit. After you run the full empty brew of the solution make sure you run at least 2, maybe 3 full brews of just water on the unit. This will ensure that all vinegar is flushed out of the system, and will help clean it as well. Of course the vinegar won't hurt you if it isn't flushed all the way out, just makes it taste quite funky. But 2 flushes with plain water is almost always enough to completely clean it.

Of course when I say an empty brew, don't put any grounds or coffee filter in the machine, just run the water and vinegar through the machine as if you are brewing a full put of coffee.
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Thanks
Tim