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The concept of absolute value is crucial in understanding many mathematical problems. Absolute value describes how far a number is from zero on the number line, always as a positive distance. So, whether you're dealing with -7 or 7, its absolute value is 7. This is shown by the notation \(|-7|\), where the bars indicate absolute value. Think of it like this: no matter if you're 7 steps to the left or right of zero, the steps you count are always positive.

Multiplication is one of the basic operations you'll use frequently. It involves adding a number to itself a certain number of times. For example, if you multiply 8 by 7, you are effectively adding 8 seven times: 8 + 8 + 8 + 8 + 8 + 8 + 8. In this exercise, after finding the absolute value, you are required to multiply 8 by 7. \[ 8 \times 7 = 56 \]. Always remember, multiplication can be visualized as repeated addition and it follows specific properties like commutativity and associativity, which ensures the order in which numbers are multiplied doesn't affect the result.

Simplifying expressions is like cleaning up a messy room; you make the expression as neat and simple as possible. The goal is to break down complex expressions into more manageable pieces, making them easier to solve. This process often involves a series of steps: first handling any absolute values, then performing operations like multiplication or division, and finally combining like terms. In our example, we first found the absolute value of -7, which is 7. Then we multiplied 8 by 7 to get the simplest form of the expression: \(8 \times 7 = 56\). Simplifying also helps in checking your work and ensuring the calculations are correct. Always follow the order of operations (PEMDAS/BODMAS) to avoid mistakes.