(As a side remark, I don't see the Example of Common False Beliefs thread being on the front page. Are you thinking about the Proofs Requiring New Way of Thinking Thread?)
There's one, slightly convoluted, way of finding the relevant answer, when the question is now active on the home page. Let me take the "Proofs Requiring New Way of THinking" thread as an example.
On the front page now, it says that it has been bumped up by user John Sidle.
Click on that user's name in the question, this brings up the user-page.
On the user-page, click on "recent". It shows what he most recently commented on and edited. Now browse through the list and find his edit to his answer for the New Way of Thinking thread, click on that, and voila!
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