I’m trying to think of a word to describe how I suddenly understood a problem after someone explained it to me.
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Off the top of my head, dawned on me is what I would recommend: macmillandictionary.com/dictionary/british/dawn-on I'd be great if you could provide an example sentence with a series of blanks showing how you intend to use the word you're looking for. – Michael Rybkin Dec 18 '18 at 11:34
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It's claimed that Archimedes shouted, "Eureka!" – Jason Bassford Dec 18 '18 at 14:32
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One word you can use is enlightened.
give (someone) greater knowledge and understanding about a subject or situation.
(from Google)
Example: Jane was enlightened after watching the videos on the Internet regarding chemical bonding.
There's also a badge of this name on the site.