Explained: (Possible world = used by philosophers to describe a way the world might have been, a description of reality that might have been true. Actual world = reality, true description). God is maximally great, He is the greatest conceivable being. If you pictured something greater than God, then that would be God. He is all-powerful, all-knowing, and therefore would be existing in every possible world. If a maximally great being exists in any possible world, He exists in all of them (that's what it means to be maximally great), so if God's existence is at all possible, He exists in any possible world, and therefore in the actual world.
My Opinion: Basically what this is saying, is if God's existence is even slightly possible in any conceivable world, then it is a certainty that He exists in the actual real world too.
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