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How to reshape a LINESTRING sfc into equal length segments

Hi everyone. This is my first mail to this mailing list so excuse me if I'm
doing something wrong. I was wondering if it's possible to reshape a
LINESTRING sfc of all connected segments into equal length segments.

I tried to explain a little bit on why I want to do that here:
https://gis.stackexchange.com/questions/327376/how-to-divide-linestring-spatial-network-into-equal-length-segments-using-r-sf

I'm pretty sure that I'm overcomplicating something simple and, in that
case, could you point me in the right direction?

Thank you in advance
Andrea