Boltzmann Equation for Entropy:
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This is just saying that multiplying Avogadro's number with the Boltzmann's constant will equal the constant R. If you look on your constants and equations sheet, there is a constant R listed at the top, which is the constant we use in equations like PV = nRT. Hope this helps!
When you remove ln2 from both sides, it's just multiplying Avogadro's number(NA) with Boltzmann's constant (kB) to equal the gas constant (R). R depends on which units you are using in the problem, but typically is 8.314 J/mol*K.
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