There is currently no way in core to allow editing a term machine name via the admin UI. In Drupal, Taxonomy Machine Name module solves this problem:

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Is this something that 80% could use, or does this belong in contrib?

That module claims integration with Views/Token/Pathauto, all of which are in Backdrop core. So does it make sense to have such a feature in core?

GitHub Issue #: 
3093