1. **State the problem:** Solve the equation $3 (b + 3) - 3b = 9$ for $b$. 2. **Apply the distributive property:** Multiply 3 by each term inside the parentheses. $$3b + 9 - 3b = 9$$ 3. **Simplify the equation:** Combine like terms on the left side. $$\cancel{3b} + 9 - \cancel{3b} = 9$$ This simplifies to: $$9 = 9$$ 4. **Interpret the result:** Since the equation simplifies to a true statement $9 = 9$ with no variable terms left, this means the original equation is true for all values of $b$. **Final answer:** The equation holds for all real numbers $b$; that is, the solution is all real numbers.