To solve the equation \(-3(-4x - 3) = -27\), we can start by simplifying the left side:
- Distribute \(-3\) to the terms inside the parentheses:
\[ -3 \cdot -4x - 3 \cdot -3 = 12x + 9 \]
Now the equation becomes:
\[ 12x + 9 = -27 \]
- Next, we isolate \(12x\) by subtracting \(9\) from both sides:
\[ 12x + 9 - 9 = -27 - 9 \] \[ 12x = -36 \]
- Finally, divide both sides by \(12\) to solve for \(x\):
\[ x = \frac{-36}{12} \] \[ x = -3 \]
Thus, the solution is:
\[ \boxed{-3} \]
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