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Solve for b in the following system of equations:

\(8^{a+b}\) = \(4\sqrt{2}\) \(8^{b+c}\) = \(\frac{\sqrt{2}}{4}\) \(8^{a+c}\) = 8

\(8^{a+b}\) = \(4\sqrt{2}\)

\(8^{b+c}\) = \(\frac{\sqrt{2}}{4}\)

\(8^{a+c}\) = 8

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