In the slow cooker, mix together the soy sauce, beef broth, brown sugar, minced garlic, and chili garlic crunch.
Pour beef into sauce, as well as the matchstick carrots, green onion, and peppers (see note). Stir well to coat everything.
Cover and cook on low for 1-2 hours until carrots are starting to get tender.
Take lid off, and add the ramen. You can also add the snap peas at this point, or wait a little longer. Cook for 30 minutes, and stir into the rest of it. If the noodles are not yet tender, give them another 5 minutes, then stir it all together.
Top with green onion and sesame seeds before serving.
Notes
Note: For crisper veggies, add peppers when you add the noodles, and add sugar snap peas with ten minutes left.