This is a misspelling; the correct spelling is 'accidentally,' meaning something happened unintentionally or by chance rather than on purpose.
The correct word 'accidentally' comes from 'accident' (Latin 'accidere' meaning 'to happen to') plus '-al' and '-ly' suffixes. The misspelling 'accidently' is extremely common because people mispronounce it in their heads, dropping the second 'c' sound.
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