1. **State the problem:** Solve the inequality $$3m + 5 > 2(m - 7)$$. 2. **Apply the distributive property:** Expand the right side: $$3m + 5 > 2m - 14$$ 3. **Isolate variable terms on one side:** Subtract $$2m$$ from both sides: $$3m - \cancel{2m} + 5 > \cancel{2m} - 14$$ $$m + 5 > -14$$ 4. **Isolate the variable $$m$$:** Subtract 5 from both sides: $$m + \cancel{5} > -14 - \cancel{5}$$ $$m > -19$$ 5. **Interpret the solution:** The solution to the inequality is $$m > -19$$. 6. **Check the answer choices:** None of the options match $$m > -19$$ exactly, but options C and D say $$m > 19$$ which is incorrect. Options A and B say $$m > 12$$ which is also incorrect. **Final answer:** The correct solution is $$m > -19$$, which is not listed among the options provided.