To simplify \(-3(2x - 4)\) using the distributive property, you multiply \(-3\) by each term inside the parentheses:
\[ -3(2x) + (-3)(-4) \]
Calculating each term gives:
\[ -6x + 12 \]
So, the simplified expression is \(-6x + 12\).
The correct answer is B: \(-6x + 12\).