1. **Problem:** Simplify the expression $(5rt - 3rw - 8tw) + (6rt - 4rw + 2tw)$. 2. **Formula and rules:** To add polynomials, combine like terms. Like terms have the same variables raised to the same powers. 3. **Step-by-step simplification:** Combine the $rt$ terms: $5rt + 6rt = 11rt$. Combine the $rw$ terms: $-3rw - 4rw = -7rw$. Combine the $tw$ terms: $-8tw + 2tw = -6tw$. 4. **Intermediate step showing cancellation:** $$\cancel{5rt} + \cancel{6rt} = 11rt$$ $$\cancel{-3rw} + \cancel{-4rw} = -7rw$$ $$\cancel{-8tw} + \cancel{2tw} = -6tw$$ 5. **Final expression:** $$11rt - 7rw - 6tw$$ 6. **Answer choice:** B 11rt - 7rw - 6tw