1. **State the problem:** Calculate the value of $-24 + 33$. 2. **Formula and rules:** Addition of integers involves combining their values. When adding a negative and a positive number, subtract the smaller absolute value from the larger absolute value and take the sign of the number with the larger absolute value. 3. **Intermediate work:** - Absolute values: $|-24| = 24$, $|33| = 33$ - Since $33 > 24$, subtract: $33 - 24 = 9$ - The sign is positive because $33$ is positive. 4. **Final answer:** $$-24 + 33 = 9$$ This means when you add negative twenty-four and positive thirty-three, the result is positive nine.