Final answer:
The equation -8 - 2 = 8 + (-2) is false because the left side equals -10 while the right side equals 6, and these two values are not the same.
Step-by-step explanation:
The student has asked whether the equation -8 - 2 = 8 + (-2) is true and to find the value for each variable in the equation that makes it true. First, let's evaluate both sides of the equation:
On the left side, we have: -8 - 2, which simplifies to -10.
On the right side, we have: 8 + (-2), which simplifies to 6.
Comparing both sides, we see that -10 does not equal 6, so the equation -8 - 2 = 8 + (-2) is false.
There is no variable in the given equation, so we cannot solve for a variable. Instead, we've shown that the equation as it stands is not true.