Simplify boolean expression $AB + A\bar B+ ABC $

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Simplify $AB + A\bar B+ ABC $

I've been trying to simplify for a good while now. I'm using only the 10 rules but cannot find a way to simplify fully.

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$AB + A\overline{B} + ABC = A(B + \overline{B}) + ABC = A + ABC = A(1 + BC) = A\overline{BC}$