The problem is to evaluate the expression $ -(-24) \times (-12) \div 8 \times \frac{1}{6}$.

1. Problem Description

The problem is to evaluate the expression $-(-24) \times (-12) \div 8 \times \frac{1}{6}$.

2. Solution Steps

We follow the order of operations (PEMDAS/BODMAS). In this case, we have multiplication and division, which we perform from left to right.

First, we evaluate $-(-24)$, which is equal to $24$.

So, the expression becomes $24 \times (-12) \div 8 \times \frac{1}{6}$.

Next, we multiply $24$ by $-12$:

$24 \times (-12) = -288$.

So, the expression becomes $-288 \div 8 \times \frac{1}{6}$.

Now, we divide $-288$ by $8$:

$-288 \div 8 = -36$.

So, the expression becomes $-36 \times \frac{1}{6}$.

Finally, we multiply $-36$ by $\frac{1}{6}$:

$-36 \times \frac{1}{6} = -\frac{36}{6} = -6$.

3. Final Answer

The final answer is -6.