To correctly compare the absolute value expression $|-6|$ and the negative integer $-6$, start by simplifying the absolute value. The absolute value of $-6$ resolves exactly to $6$, so the comparison directly evaluating the values becomes the positive integer $6$ versus the negative integer $-6$. Since $6$ is positioned to the right of $-6$ on the number line, it concludes definitively that $6 > -6$. Substituting the original expression back yields the final relationship $|-6| > -6$.