Can someone explain the Equation of Time in detail?

♥meme♥

New member
What is it exactly? Why do you need it when measuring a sundial? How do you convert the apparent solar time of the sundial into local mean time? Why do you need to do this? I know the answers to the first two questions but I would like to know some more detail. I am a bit more stuck on the last two questions. Thanks.
 
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