Is this logic of solving $\frac{0}{0}$ correct

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I have seen such proofs many times and was unable to prove where it was wrong (not a math person-my bad).
For example the following proof for $\frac{0}{0} = 2$ looks like it is proven correctly - but somehow I feel that it cannot be right.

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This could be pun but I want to know where it is wrong

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What is wrong is that you can't consider $\frac 00$ in the first place. So everything you will do after that will just be false, because it's from something which is false.

You can show the same way that $\frac 00=3$, and this is nonsense.

Plus, you can't not simplify by $10-10$, because you can never simplify by $0$.

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The error starts right at the beginning, it is always wrong to divide by zero. Any conclusion can be followed from wrong assumptions.