Hello this question is based on a transfer function problem and I have the following formulas and need to arrive at an equation for T/V_{D}in terms of k_{0}, k_{1}, k_{2}and k_{t}

where E = V_{D}- V_{M}, I = Ek_{1}, T = k_{0}I, V_{t}= k_{t}T and V_{m}= k_{2}V_{t}

My attempt:

T = k_{0}I where I = Ek_{1 }therefore T = k_{0}Ek_{1}where E = V_{D}- V_{M}hence T = K_{0}(V_{D}- V_{M})K_{1}

Also we know that T = V_{t}/k_{t}where V_{t}= V_{M}/k_{2 }therefore T = V_{M}/(k_{2}k_{t)}hence V_{M }= Tk_{2}k_{t }and substituting V_{M }= Tk_{2}k_{t}into T = K_{0}(V_{D}- V_{M})K_{1}

we have T = K_{0}(V_{D}- Tk_{2}k_{t})K_{1}expanding brackets: T = K_{0}K_{1}V_{D}- K_{0}k_{1}Tk_{2}k_{t }I've tried various rearragements of this but don't seem to come up with T/V_{D }can anyone show me where I'm going wrong?

I'm really stuck

Thanks!