To evaluate the relationship between the negative integer $-9$ and the expression $-|-9|$, begin by simplifying the side containing the absolute value. The absolute value of $-9$ evaluates to $9$, since its distance from zero is $9$. Applying the negative sign positioned outside the absolute value bars to this result gives $-9$. The comparison then simplifies to $-9$ versus $-9$. Since these two integers are exactly the same ($-9 = -9$), the correct relationship is equality. Therefore, the final comparative statement is $-9 = -|-9|$.