I am thoroughly impressed!
I would add wifi/bluetooth, to send notification on compatible smart TV that breads are toasted as per cronjob, while owner relaxes watching morning news, or display live cooking status while playing appetizing music.
If you're serious about your question, you would be wise to incude what you hope to achieve by running Arch on your toaster, what you've tried so far, and some kind of hardware details. For starters, what processor does the toaster run? If it's not x86 or ARM (which I doubt it is) then you've probably got pretty much zero chance.
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