"Left-wing" and "Right-wing" are incredibly simplistic descriptions of political belief and become virtually useless as soon as you stray outside the mainstream political spectrum (and are often useless within it too).
The best way to test this is to design a study that gives the group you're interested in ("libertarians") a choice between voting for either a) a representative right-wing party or b) a representative left-wing party. They have to choose one or the other. If they tend to vote for the right-wing party, you can say that they're more "right-wing", and if they tend to vote for the left-wing party, you can say that they're more "left-wing", in the context of that political system at that time.
They're mostly the socially liberal and fiscally conservative train of thought which is an oxymoron within itself.
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