The absolute value of any number is its distance from zero on the number line, and it is always non-negative. Therefore, an absolute value cannot equal a negative number.

For example, the equation:
$|x| = -4$ has no solution because the absolute value of $x$ can never be negative.

Let me know if you have further questions or need clarification!

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Related Questions:

1. What is the definition of absolute value?
2. How can we solve equations involving absolute values?
3. Are there exceptions where absolute values can be negative?
4. Can you give an example of a graph for an absolute value function?
5. How do we deal with inequalities involving absolute values?

Tip: Always remember that absolute values measure distance, and distance is never negative!