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Simplifying 4lna + -1lnb = ln Solving 4aln + -1bln = ln Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bln' to each side of the equation. 4aln + -1bln + bln = bln + ln Combine like terms: -1bln + bln = 0 4aln + 0 = bln + ln 4aln = bln + ln Divide each side by '4ln'. a = 0.25b + 0.25 Simplifying a = 0.25b + 0.25 Reorder the terms: a = 0.25 + 0.25b
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