No, I can't. I know the difference.
The bottom line is that to a person whose worldview of reality ("all that there is") is that which occurs in nature - the arguments are equally asserted to rationalize the metaphysically naturalist (or atheist) worldview. For instance, that God is an unnecessary hypothesis - or that physical laws and constants had to be the way they were for physicists to identify them - or that someday a physical explanation will be given for everything.
Nowadays when people refer to Occam's Razor, they often express it more generally, for example as "Take the simplest solution".
The relevance to atheism is that we can look at two possible explanations for what we see around us:
There is an incredibly intricate and complex universe out there, and there is also a God who created the universe. Clearly this God must be of non-zero complexity.