When analyzing the relative sizes of $12$ and $-|-12|$, prioritize simplifying the expression containing the absolute value. The absolute value of $-12$ evaluates to $12$, representing its distance from zero. Enacting the negative sign placed securely outside these absolute value bars negates this calculated distance, yielding $-12$. The evaluation then directly compares the initial positive integer $12$ against this resulting negative integer $-12$. Because any positive integer is strictly greater than a negative one ($12 > -12$), the final comparative relationship is robustly established as $12 > -|-12|$.