To determine the exact relationship between $|-8|$ and $-|-8|$, individually evaluate each expression. On the left side, the absolute value of $-8$ directly evaluates to $8$ because its mathematical distance from zero is eight units. On the right side, evaluate the absolute value first to get $8$, and then purposefully apply the external negative sign, resulting in $-8$. Comparing these two simplified integers verifies that the positive value $8$ is strictly greater than the negative value $-8$ ($8 > -8$). By substituting these integers back into the original expressions, the final relationship is confirmed as $|-8| > -|-8|$.