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When there is more than one version of an article on the web, search engines will give the highest rank to the one they indexed first, sometimes even ignoring altogether the ones they find afterward.
Therefore, if you are going to post your article in more than one place without changing the wording at all, you should publish in the place you want to rank the highest first. Wait a few days then post it elsewhere. So, if you want your blog to rank higher, post the article there first.
If the article points back to your blog, having too much duplicate content can just frustrate your readers. Remember, they clicked on the link in your article to get more information... not just the same information.