The easiest way to add eggs to rice is the cook the scrambled egg first in the skillet, then transfer it to a plate until you're ready to add it. Then cook the veggies and add the rice. Once the rice is mixed in, you can add the egg. I have also been known to cook the veggies, add the rice, and then push everything aside and make a hole in the center and just cook the egg there. It's really all just a matter of preference. Or you could go really crazy and just add a fried egg to the top of your rice bowl.