Crossword Genius

With a leisurely stride, head south, away from the mountainside (4)

Ross

I believe the answer is:

lope

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'with a leisurely stride head' is the definition.
Although both the answer and definition are singular nouns, I can't understand how they can define each other.

'south away from the mountainside' is the wordplay.
'south' becomes 's' (abbreviation).
'away from' suggests deleting specific letters.
'the mountainside' becomes 'slope' (I've seen this in another clue).
'slope' with 's' removed is 'LOPE'.

Can you help me to learn more?

(Other definitions for lope that I've seen before include "Move with long strides" , "Bound along carrying pole" , "Run slowly with pole" , "Canter" , "Stride along" .)

I've seen this clue in the Sydney Morning Herald.
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