Simple formula conversion

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I have this formula $Av = (R1+R2)/R2$ and I convert it like this \begin{align} Av = {} & (R_1+R_2)/R_2 \\ R_2\cdot Av = {} & R_1+R_2 \\ R_2\cdot Av-R_1 = {} & R_2 \\ R_2(Av-R_1) = {} & R_2 \\ (R_2(Av-R_1))/R_2 = {} & R_2/R_2 \end{align} and $R_2/R_2 = 1$

Any idea why this wouldn't work? Do I misplace the paranthesis? It feels it.

Any answers would be greatly appreciated.

Thanks in advance!

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Assuming you want to make $R_2$ the subject of the formula:$$\begin{align}A_v&=\frac{R_1+R_2}{R_2}\\ \therefore R_2\times A_v&=R_1+R_2\\ \therefore R_2\times A_v-R_2&=R_1\\ \therefore R_2(A_v-1)&=R_1\\ \therefore R_2&=\frac{R_1}{A_v-1}\end{align}$$