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Simplifying 7lna + -8lnb = ln Solving 7aln + -8bln = ln Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8bln' to each side of the equation. 7aln + -8bln + 8bln = 8bln + ln Combine like terms: -8bln + 8bln = 0 7aln + 0 = 8bln + ln 7aln = 8bln + ln Divide each side by '7ln'. a = 1.142857143b + 0.1428571429 Simplifying a = 1.142857143b + 0.1428571429 Reorder the terms: a = 0.1428571429 + 1.142857143b
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