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Simplifying 5ln(2a + -1) = 15 Reorder the terms: 5ln(-1 + 2a) = 15 (-1 * 5ln + 2a * 5ln) = 15 Reorder the terms: (10aln + -5ln) = 15 (10aln + -5ln) = 15 Solving 10aln + -5ln = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5ln' to each side of the equation. 10aln + -5ln + 5ln = 15 + 5ln Combine like terms: -5ln + 5ln = 0 10aln + 0 = 15 + 5ln 10aln = 15 + 5ln Divide each side by '10ln'. a = 1.5l-1n-1 + 0.5 Simplifying a = 1.5l-1n-1 + 0.5 Reorder the terms: a = 0.5 + 1.5l-1n-1
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