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In mathematics, integer operations include addition, subtraction, multiplication, and division of whole numbers. These whole numbers can be positive, negative, or zero. When we talk about subtracting integers, we are focusing on subtraction which can include negative numbers. Understanding how to manipulate both positive and negative integers is vital in multiple aspects of math. For example, in the exercise given: $$-14 - (-14)$$ We handle both subtraction and negative number operations. To simplify these operations, we convert the subtraction of a negative number into the addition of a positive number, transforming the problem into an easier form.

An additive inverse is essentially a number that, when added to a given number, results in a sum of zero. In more simple terms, for any number 'a', its additive inverse is '-a'. So if you add 'a' to '-a', you get zero. This concept is fundamental in understanding how we simplify the subtraction problem $$-14 - (-14)$$ In this case, both -14 and 14 are additive inverses of each other, meaning that when coupled together in an addition equation, they cancel out and result in zero. Hence, $$-14 + 14 = 0$$ Grasping the concept of additive inverses can make solving these types of problems much smoother.

Math problems can often be solved in a few basic steps, which simplify and break down the process. Taking the problem $$-14 - (-14)$$ Let's breakdown its simple arithmetic steps: 1. **Understand the Problem:** Assess what operation needs to be performed. Here we need to subtract a negative number from another negative number. 2. **Change Signs:** Convert the subtraction of a negative to the addition of its positive counterpart. So $$-14 - (-14)$$ turns into: $$-14 + 14$$ 3. **Perform the Addition:** Calculate the sum of the two integers. Since -14 and 14 are additive inverses of each other, they negate each other, resulting in zero. It's crucial to follow these steps in sequence to ensure accuracy.