1. The problem statement, all variables and given/known data Solve for final Vout. 2. Relevant equations Circuits 3. The attempt at a solution So 1 and 2 are easy. I'm just going to skip to where I get confused. There is a 50k resistor between where I solved for Vout after the 2nd Op Amp. I found the voltage to be 12V. Now the solutions manual keeps moving on, ignoring the 50k resistor. It calculates the gain as -2 and the final voltage as -24V. It seems to me that there should be a voltage drop across the 50k resistor and that that Vin for the 3rd Op Amp should be less than the 12V that was Vout for the 2nd Op Amp.