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How to rearrange potential divider circuit formula?

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Garrulous:
I have already re-arranged the potential divider formula from Vout=R2/(R1+R2 )*Vin  to 1/Vout =(R1+R2/R2) * 1/Vin

My question to you is how I can rearrange this further to get
1/Vout =( R1/Vin)*(1/R2) + 1/Vin.

I am doing this so I can get it in the form y=mx+c
Please show the working
Thanks in advance.

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