Part A: The opposite of 8 would be negative 8. This is because if you look at the opposite of 8 on the number line, you’d find -8. Positive is an antonym of negative, thus, they contradict each other.
Part B: -(-8) Would result in 8, because a negative times a negative is always a positive. -|-8| would equal -8 because the absolute value of -8 is eight, times the negative sign would be -8. All results taken into account, -(-8) and -|-8| result in the same value based on mathematical facts.