Mane pulling combs?

I use a rake for thinning it out and then shorten it with the comb with a razor blade in. It works for me. Unfortunately my horse has a double mane and thick on both sides. I would like to get it on one side but I don't think I will succeed.
 
I have the solo rake as my mare is very sensitive with her hair! Warning theydo tend to cut the hair so you may end up with tufty bits
 
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