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Simplifying Ln(a + -10) + 5 = 7 Reorder the terms: nL(-10 + a) + 5 = 7 (-10 * nL + a * nL) + 5 = 7 Reorder the terms: (anL + -10nL) + 5 = 7 (anL + -10nL) + 5 = 7 Reorder the terms: 5 + anL + -10nL = 7 Solving 5 + anL + -10nL = 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 + anL + -5 + -10nL = 7 + -5 Reorder the terms: 5 + -5 + anL + -10nL = 7 + -5 Combine like terms: 5 + -5 = 0 0 + anL + -10nL = 7 + -5 anL + -10nL = 7 + -5 Combine like terms: 7 + -5 = 2 anL + -10nL = 2 Add '10nL' to each side of the equation. anL + -10nL + 10nL = 2 + 10nL Combine like terms: -10nL + 10nL = 0 anL + 0 = 2 + 10nL anL = 2 + 10nL Divide each side by 'nL'. a = 2n-1L-1 + 10 Simplifying a = 2n-1L-1 + 10 Reorder the terms: a = 10 + 2n-1L-1
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