Understanding Hegelian Dialectic: A+B=C Explained

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I have just recently looked into the concept of Hegelian Dialectic, but I do not fully grasp any way to apply. Can someone who has a full understanding of it possibly break it down to simpler terms? I get A + B = C (Where C IS the opposite of A and B) I think

So if "my idea of freedom" conflicts "your idea of freedom" then none of us can be free until we are all slaves

I got to go due to the fact I am not supposed to be on the computers at school

please respond
 
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I can't say I have a full grasp of Hegel. Anybody that does has my respect though.
 
Should dialectics even be in the philosophical thread? If not, someone tell me where the proper place to post this is.
 
I think this is a good place to ask. I'd like to see other answers.
My understanding is A and B are complementary opposites and partial aspects of them = C, a new reality.