1. **State the problem:** Simplify the expression $8(-6f - 9) + 2(9f + 2)$. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside. $$8(-6f - 9) = 8 \times -6f + 8 \times -9 = -48f - 72$$ $$2(9f + 2) = 2 \times 9f + 2 \times 2 = 18f + 4$$ 3. **Combine the results:** $$-48f - 72 + 18f + 4$$ 4. **Group like terms:** $$(-48f + 18f) + (-72 + 4)$$ 5. **Simplify each group:** $$-48f + 18f = -30f$$ $$-72 + 4 = -68$$ 6. **Write the final simplified expression:** $$\boxed{-30f - 68}$$