1. **State the problem:** Simplify and solve the expression $3(m + 3) = 3m + 3$. 2. **Use the distributive property:** Multiply 3 by each term inside the parentheses. $$3(m + 3) = 3 \times m + 3 \times 3 = 3m + 9$$ 3. **Rewrite the equation:** $$3m + 9 = 3m + 3$$ 4. **Subtract $3m$ from both sides:** $$\cancel{3m} + 9 = \cancel{3m} + 3$$ which simplifies to $$9 = 3$$ 5. **Analyze the result:** Since $9 \neq 3$, the equation has no solution; it is inconsistent. --- **Summary:** The equation $3(m + 3) = 3m + 3$ simplifies to $9 = 3$, which is false, so there is no value of $m$ that satisfies the equation.