To determine the coefficient of the expression \( (9x - 6) \) when there's a negative sign in front, we need to distribute the negative sign over the terms inside the parentheses. This means we can express the operation as:
\[
- (9x - 6) \]
Distributing the negative sign:
\[
- (9x) + (-(-6)) = -9x + 6 \]
Now, we can identify the coefficients from the simplified expression:
- The coefficient of \( x \) in \( -9x \) is \(-9\).
- The constant term is \( 6\).
Thus, the coefficient of \( (9x - 6) \) when distributed with the negative sign is \( -9 \).