To solve the expression \( 5.6 - (-6.92 + (-7.5 + (-9.2 + 0.01))) \), we will follow the order of operations step by step.
Start with the innermost parentheses: \[ -9.2 + 0.01 = -9.19 \]
Substitute this result back into the expression: \[ 5.6 - (-6.92 + (-7.5 + -9.19)) \]
Next, calculate the expression inside the next set of parentheses: \[ -7.5 + (-9.19) = -7.5 - 9.19 = -16.69 \]
Substitute this result back: \[ 5.6 - (-6.92 - 16.69) \]
Now, calculate the next part: \[ -6.92 - 16.69 = -23.61 \]
Substitute this back: \[ 5.6 - (-23.61) \]
Since subtracting a negative is the same as adding a positive, we have: \[ 5.6 + 23.61 = 29.21 \]
Thus, the final result is: \[ \boxed{29.21} \]