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I need help with solving this boolean algebraic manipulation. Q= B + (AB + C)(A+C) = B + AB + ABC + CA + C

I need help with solving this boolean algebraic manipulation.

Q= B + (AB + C)(A+C)

= B + AB + ABC + CA + C

I got this far and I am confused on what to do after. I know the answer is Q = B + C but I don't know how they got this answer.

If you can explain the rest of the problem with detailed steps it would be really helpful.

Thank you

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