1. The problem is to evaluate the product of two numbers: $(-4)$ and $3$. 2. The formula for multiplication is simply $a \times b$, where $a$ and $b$ are any two numbers. 3. Important rule: When multiplying a negative number by a positive number, the result is negative. 4. Calculate the product: $$(-4) \times 3 = -12$$ 5. Therefore, the final answer is $-12$.