To evaluate the expression \(-12.3 - (-9.6) + 10.5 + (-10.5)\), we can start by simplifying the expression step by step.
- Simplify \(-(-9.6)\) to \(+9.6\):
\[ -12.3 + 9.6 + 10.5 - 10.5 \]
- Combine the terms:
Now, let's combine \(-12.3\) and \(9.6\):
\[ -12.3 + 9.6 = -2.7 \]
So now we have:
\[ -2.7 + 10.5 - 10.5 \]
- Next, combine \(10.5\) and \(-10.5\):
\[ 10.5 - 10.5 = 0 \]
This simplifies our expression to:
\[ -2.7 + 0 = -2.7 \]
Thus, the value of the expression is:
\[ \boxed{-2.7} \]
The correct answer is C. -2.7.