1: In a large pot with boiling water, cook the noodles according to package directions.
2: Add the broccoli the last 5 minutes of cooking and let them cook until tender.
3: Drain the noodles and broccoli.
4: While the pasta is cooking, add olive oil to a medium sized skillet.
5: Cook the steak until no longer pink.
6: Add the garlic and carrots and cook for a minute more.
7: In a small bowl, whisk together the brown sugar, soy sauce, hoisin sauce, sesame oil, ginger, red pepper, and pepper.
8: Add the spaghetti to the skillet and pour the sauce on top, then toss until incorporated.