Disguising Reciprocal Links

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I have a well ranked website "A" with a number of good incoming (reciprocal)
links. I could move all my backlinking references to website "B", which is
also ranked quite well, thus removing the reciprocal element from the
linking system of website "A".  Will it positively affect Google's attitude
towards website "A" in general: the site will contain seemingly independent
incoming links, and the link favor will be returned via a completely
different site.  Thanks for your input!

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