To expand \(-4(6a - 5)\), you distribute \(-4\) to both terms inside the parentheses:
\[ -4(6a) + (-4)(-5) \]
Calculating each term:
\[ -4 \cdot 6a = -24a \] \[ -4 \cdot -5 = 20 \]
Now, combine the results:
\[ -24a + 20 \]
So, the expanded form of \(-4(6a - 5)\) is:
\[ \boxed{-24a + 20} \]