This is the answer to my puzzle,
Algebra Witchcraft. If you haven't read that yet,
here's a link, then you can come back here at any point.
The answer is:
Well, the algebra is perfectly well formed. So if you were looking for a mistaken or slight of hand, there isn't one. That's what the clue was about  its not a trick.
So if it isn't a trick, what gives.
Given: a=b
We can substitute b throughout with a. This gives the following:
From that we can see that each of the steps are self evidently true. That is:

Step One 

Step Two 

Step Three 

Step Four 

Step Five 

Step Six 
So its not the algebra.
But did you spot what happened in Step 5 and Step 6. The only way that they can resolve is if:
a = 0
And there's the answer. The algebra is fine, it's just applied to a single special case.
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