Rinse the rice in a sieve under cold running water until the water runs clear. Drain well. Place the water and rice in a pan, bring to the boil, leave covered on a switched-off hob for approx. 15 mins. until fully absorbed; do not remove the lid. Fluff up the rice with a fork, transfer to a baking tray and leave to cool.
Heat the oil in a non-stick frying pan. Stir-fry the rice for approx. 5 mins., remove from the pan.
Combine the eggs with the sesame oil, season. Add a little oil to the same pan, tip in the eggs and cook, moving constantly, until the eggs are firm but moist, remove.
Heat the oil in the same pan, add the vegetables and stir-fry for approx. 5 mins., season. Add the rice, soy sauce and rice vinegar, fry for approx. 10 mins., stirring the rice occasionally. Divide the scrambled egg and peanuts onto the rice.