We need to evaluate the expression $ -(-\frac{1}{2})(+4)(-\frac{2}{3})(-12) $.

1. Problem Description

We need to evaluate the expression $-(-\frac{1}{2})(+4)(-\frac{2}{3})(-12)$.

2. Solution Steps

First, we simplify the expression inside the parenthesis:

$-\left(-\frac{1}{2}\right) = \frac{1}{2}$

Then, the expression becomes:

$\frac{1}{2}(4)(-\frac{2}{3})(-12)$

Multiplying the terms:

$\frac{1}{2} \cdot 4 = 2$

The expression now is:

$2(-\frac{2}{3})(-12)$

$2 \cdot (-\frac{2}{3}) = -\frac{4}{3}$

The expression now is:

$-\frac{4}{3}(-12)$

$-\frac{4}{3} \cdot (-12) = \frac{4 \cdot 12}{3} = \frac{48}{3} = 16$

3. Final Answer

16