1. Stating the problem: Calculate the values of $3 \times (-8)$ and $6 \times (-2)$.\n\n2. Recall the multiplication rule for integers: Multiplying a positive number by a negative number results in a negative number.\n\n3. Calculate $3 \times (-8)$:\n$$3 \times (-8) = -24$$\n\n4. Calculate $6 \times (-2)$:\n$$6 \times (-2) = -12$$\n\n5. Final answers: $3 \times (-8) = -24$ and $6 \times (-2) = -12$.