Cell potential / redox

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So I'm having a bit of trouble understanding this (β6 just means Kf).

So first I'm getting G = -zFE = -185 kJ

Then I use G = -RTlnKeq for both the 3+ and 2+ cobalt complexes. However, here is where I get stuck.
Apparently, Keq for the 3+ complex is +200 kJ and not -200 kJ, meaning that they used Keq = 1/β instead of just Keq = β. Thus, they got a negative lnKeq value, and in turn +200. Why?

From there, you just add the G's (-185 + 200 - 25) = -9.5 kJ, and use E = -G/zF and get E = 0.10 V.

Thank you!
 
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