Samantha and her three friends had to give up (3) red marbles to their opponents for loosing their game. The equation to this scenario is 4 x (–3) = –12.

This equation represents the situation correctly. If Samantha and her three friends each had to give up three red marbles, the total number of marbles given up would be 3 + 3 + 3 + 3 = 12. However, since they are giving up red marbles to their opponents, the sign on the equation is negative. Therefore, the equation becomes 4 x (-3) = -12.

The equation in this scenario is 4 x (-3) = -12. Let's break it down to understand how to get the answer.

In this equation, 4 is the number of friends Samantha had. Since each friend had to give up 3 red marbles, we multiply the number of friends (4) by the number of marbles each friend gave (-3).

When multiplying a positive number (4) by a negative number (-3), the result is always negative.

So, 4 x (-3) equals -12, which means that Samantha and her three friends had to give up a total of 12 red marbles to their opponents.

The equation you provided is incorrect. Let me explain the correct equation for this scenario step-by-step.

Step 1: Start with the initial number of red marbles Samantha and her three friends have, which is 4.
Step 2: Subtract the number of red marbles they had to give up, which is 3.
Step 3: The equation for this scenario is 4 - 3 = 1.

Therefore, Samantha and her three friends are left with 1 red marble after giving up 3 red marbles to their opponents.