1. **State the problem:** Simplify the expression $-5(6m + 3) - 7(-7m + 7)$. 2. **Apply the distributive property:** Multiply each term inside the parentheses by the factor outside. $$-5(6m + 3) = -5 \times 6m + (-5) \times 3 = -30m - 15$$ $$-7(-7m + 7) = -7 \times (-7m) + (-7) \times 7 = 49m - 49$$ 3. **Rewrite the expression with distributed terms:** $$-30m - 15 + 49m - 49$$ 4. **Combine like terms:** Combine the $m$ terms and the constant terms separately. $$(-30m + 49m) + (-15 - 49) = 19m - 64$$ 5. **Final simplified expression:** $$\boxed{19m - 64}$$