I wear my bag on the left shoulder and I am right handed
Same here.

BTW, it has been done before!

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I wear my bag on the left shoulder and I am right handed
I am right handed, and usualy cary my wifes bag on my right shoulder, though it has a tendency to slide off. My shoulders are a bit broader than hers and slope down more. I have to keep adjusting the strap or it will slide off. This is hard to do when carrying other bags.