To solve the problem, we interpret the phrase mathematically:

1. The phrase "three times the difference of four and a number" can be expressed as $3 \cdot (4 - n)$.
2. Adding 8 to this gives $8 + 3 \cdot (4 - n)$.

We substitute $n = -3$ into the expression:

$8 + 3 \cdot (4 - (-3))$

1. Simplify the expression inside the parentheses: $4 - (-3) = 4 + 3 = 7$

2. Multiply by 3: $3 \cdot 7 = 21$

3. Add 8: $8 + 21 = 29$

The solution does not match the listed options. Please verify or clarify. Would you like me to check for a potential error in interpretation?

Questions:

1. Can you confirm whether $n = -3$ is correctly stated in the question?
2. Are there alternate phrasings in the problem that need reinterpreting?
3. Would you like detailed steps on solving similar expressions?
4. Do you want help understanding how to parse verbal mathematical expressions?
5. Are you curious about real-life applications of such expressions?

Tip:

Always ensure clarity in interpreting key terms like "difference," "times," and "more than" in word problems.