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To solve for "u" is to isolate "u" on the other side of the equal sign.
Our first step for the equation above is to eliminate the denominator by doing a cross-multiplication on both sides of the equation.
[tex]\begin{gathered} G(1-u)=d \\ \end{gathered}[/tex]Next step: Divide both sides by G.
[tex]\begin{gathered} \frac{G(1-u)}{G}=\frac{d}{G} \\ 1-u=\frac{d}{G} \end{gathered}[/tex]Next step: Subtract 1 on both sides of the equation.
[tex]\begin{gathered} 1-u-1=\frac{d}{G}-1 \\ -u=\frac{d}{G}-1 \end{gathered}[/tex]Last step: Multiply both sides by -1.
[tex]\begin{gathered} -u(-1)=-1(\frac{d}{G}-1) \\ u=-\frac{d}{G}+1 \\ u=1-\frac{d}{G} \end{gathered}[/tex]Therefore, u = 1 - d/G.