8 ounces lo mein noodles, or spaghetti noodles
3 cups broccoli florets
1 Tablespoon olive oil
8 ounce flank steak, sliced against the grain
3 garlic cloves, minced
1 medium carrot, shredded
¼ cup packed brown sugar
¼ cup reduced-sodium soy sauce
2 Tablespoons hoisen sauce
2 teaspoons sesame oil
¼ teaspoon ground ginger
¼ teaspoon crushed red pepper flakes
¼ teaspoon pepper