To establish the relationship between $-(-9)$ and $|-9|$, simplify both numerical expressions independently. The notation $-(-9)$ dictates taking the opposite of the negative integer $-9$, which calculates directly to the positive integer $9$. The notation $|-9|$ determines the geometric distance from zero for the number $-9$, which is also exactly $9$. Since both evaluated outcomes are identical ($9 = 9$), it can be concluded that $-(-9) = |-9|$.