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From my understanding, Lewis acids and Bronsted acids are the same. However, the concept used to identify them are different. Based on the Lewis definition, an acid receives and electron pair. Based on the Bronsted definition, an acid donates a proton
I'm not exactly sure what you mean by regular acids, but if I understand correctly, a Lewis acid is a regular acid. A Lewis acid is simply a way to define chemically what an acid is. By definition, a Lewis acid is an electron acceptor, which provides a visual representation what what an acid does in an acid-base reaction. Though this definition is chemical, it does not mean that a Lewis acid is different from any regular acid in everyday life.
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