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Simplifying ln(a + 10) + 5 = 7 Reorder the terms: ln(10 + a) + 5 = 7 (10 * ln + a * ln) + 5 = 7 Reorder the terms: (aln + 10ln) + 5 = 7 (aln + 10ln) + 5 = 7 Reorder the terms: 5 + aln + 10ln = 7 Solving 5 + aln + 10ln = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + aln + -5 + 10ln = 7 + -5 Reorder the terms: 5 + -5 + aln + 10ln = 7 + -5 Combine like terms: 5 + -5 = 0 0 + aln + 10ln = 7 + -5 aln + 10ln = 7 + -5 Combine like terms: 7 + -5 = 2 aln + 10ln = 2 Add '-10ln' to each side of the equation. aln + 10ln + -10ln = 2 + -10ln Combine like terms: 10ln + -10ln = 0 aln + 0 = 2 + -10ln aln = 2 + -10ln Divide each side by 'ln'. a = 2l-1n-1 + -10 Simplifying a = 2l-1n-1 + -10 Reorder the terms: a = -10 + 2l-1n-1
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