1. **State the problem:** Simplify the expression $9a + a + b + 2b + 4a$ and verify if it equals $14a + 3b$. 2. **Combine like terms:** Group the terms with $a$ and the terms with $b$ separately. $$9a + a + 4a = (9 + 1 + 4)a = 14a$$ $$b + 2b = (1 + 2)b = 3b$$ 3. **Rewrite the expression:** $$14a + 3b$$ 4. **Check the given equation:** The simplified expression $14a + 3b$ matches the left side of the equation $14a + 3b = 17ab$. 5. **Interpretation:** The equation $14a + 3b = 17ab$ is given, but the simplified expression from the left side is $14a + 3b$. The problem does not ask to solve for variables, only to simplify the expression. **Final answer:** The simplified expression is $14a + 3b$.