1. **State the problem:** Solve the equation $8 \cdot (4 - 40 + 4) = 120$. 2. **Simplify inside the parentheses:** Calculate $4 - 40 + 4$. 3. Perform the operations step-by-step: $$4 - 40 = -36$$ $$-36 + 4 = -32$$ So, the expression inside the parentheses simplifies to $-32$. 4. **Substitute back into the equation:** $$8 \cdot (-32) = 120$$ 5. **Calculate the left side:** $$8 \times (-32) = -256$$ 6. **Check if the equation holds:** $$-256 = 120$$ This is false, so the original equation as given is not true. 7. **Conclusion:** The equation $8 \cdot (4 - 40 + 4) = 120$ is false; no solution exists for this equality as stated. If the problem intended a different expression or equation, please clarify.