Can you love everyone equally?

Can you love everyone equally?
I had an interesting discussion with a woman about this. I believe I do love everyone equally, if just I "customize" the way I interact with them to suit their needs.
However, she was vocal and got quite upset about this - her reasoning is that it's impossibile to love everyone, and can be summed up as "loving everyone, to actually not caring about anyone equally".
What are your thoughts?
Can you love everyone equally?
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