To simplify the expression \( 3(-4x - 9) \), we can distribute the 3 to both terms inside the parentheses:
\[ 3(-4x) + 3(-9) \]
Calculating each term:
- \( 3 \times -4x = -12x \)
- \( 3 \times -9 = -27 \)
Now combine these results:
\[ -12x - 27 \]
Thus, the expression equivalent to \( 3(-4x - 9) \) is:
\[ -12x - 27 \]