As for the original question, using {-meH} with {-pu'} or {-ta'} seems like it would mean something like "in order to complete doing something".
{paq vIlaDta'meH juHwIjDaq jIratlh.} "I stayed home to complete/finish reading the book." I wanted to make "reading the book" a completed action, so I stayed home. Something like that. It might not translate easily into English but the usage makes sense.
Seems reasonable to me.
paq vIlaDmeH juHwIjDaq jIratlh
I stay home to read the book
paq vIlaDta'meH juHwIjDaq jIratlh
I stay home to finish reading the book
Though note that, lacking perfective on jIratlh, my
remaining is not a completed action.
-- SuStel http://trimboli.name