Explanation: The problem at hand involves basic arithmetic operations with integers, specifically focusing on the addition and subtraction of negative numbers. The expression given is (-8) + (+2) - (-6).
To solve this, we need to understand the rules for adding and subtracting integers, particularly when dealing with negative numbers. The key rule to remember is that subtracting a negative number is equivalent to adding a positive number. This is because the negative of a negative is a positive.
Let's break down the expression step by step:
1. Start with the first part: (-8) + (+2).
- Here, we are adding a positive number to a negative number. The result is (-6) because we are moving 2 units to the right on the number line from -8.
2. Next, we need to handle the subtraction of a negative number: -(-6).
- According to the rule mentioned, subtracting a negative number is the same as adding a positive number. So, -(-6) is the same as +6.
3. Now, we combine the results from the previous steps: (-6) + (+6).
- Adding a positive number to a negative number of the same magnitude results in zero. This is because the positive and negative values cancel each other out.
Therefore, the final result of the expression (-8) + (+2) - (-6) is 0.
This problem highlights the importance of correctly handling the signs when performing arithmetic operations with integers. It is crucial to remember that subtracting a negative number is equivalent to adding a positive number, and this rule is essential for solving such problems accurately.
In summary, the correct answer is (B) 0, as the expression simplifies to zero after applying the rules for adding and subtracting integers.