Let's solve the expression step by step.
Calculate \( |5 - 7.5| \): \[ 5 - 7.5 = -2.5 \quad \Rightarrow \quad |5 - 7.5| = 2.5 \]
Calculate \( |5/3 + 2/3 + 2/3| \): \[ 5/3 + 2/3 + 2/3 = 5/3 + 4/3 = 9/3 = 3 \quad \Rightarrow \quad |5/3 + 2/3 + 2/3| = 3 \]
Combine the results from step 1 and step 2: \[ |5 - 7.5| + |5/3 + 2/3 + 2/3| = 2.5 + 3 = 5.5 \]
Calculate \( |-9| \): \[ |-9| = 9 \]
Calculate \( |3.5| \): \[ |3.5| = 3.5 \]
Subtract results: \[ |-9| - |3.5| = 9 - 3.5 = 5.5 \]
Final calculation: \[ 5.5 - 5.5 = 0 \]
Thus, the final result of the entire expression is \( \boxed{0} \).