I am new to Boolean Algebra, and i need advice

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Simplified the boolean expression: A'BC + A'BC' + AC

This is what I came up with:

A'BC + A'BC' + AC
= A'(BC + BC') + AC
= A'B(1) + AC 
= A'B + AC

As mentioned in the post title, I am new to boolean algebra. What I need to know is if I am correct, and can I simplify the expression further. Is there a better boolean law to use?

Any help is appreciated. Thanks in advance!

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