1. **State the problem:** Solve the equation $3b + 6 - 3b = 9$ for $b$. 2. **Simplify the equation:** Combine like terms on the left side. $$3b - 3b + 6 = 9$$ 3. Since $3b - 3b = 0$, the equation reduces to: $$6 = 9$$ 4. **Analyze the result:** The statement $6 = 9$ is false, which means there is no value of $b$ that satisfies the equation. 5. **Conclusion:** The equation has no solution.