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Simplifying 2 = 3 + -10In(1 + 5c) 2 = 3 + (1 * -10nI + 5c * -10nI) Reorder the terms: 2 = 3 + (-50cnI + -10nI) 2 = 3 + (-50cnI + -10nI) Solving 2 = 3 + -50cnI + -10nI Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '50cnI' to each side of the equation. 2 + 50cnI = 3 + -50cnI + 50cnI + -10nI Combine like terms: -50cnI + 50cnI = 0 2 + 50cnI = 3 + 0 + -10nI 2 + 50cnI = 3 + -10nI Add '-2' to each side of the equation. 2 + -2 + 50cnI = 3 + -2 + -10nI Combine like terms: 2 + -2 = 0 0 + 50cnI = 3 + -2 + -10nI 50cnI = 3 + -2 + -10nI Combine like terms: 3 + -2 = 1 50cnI = 1 + -10nI Divide each side by '50nI'. c = 0.02n-1I-1 + -0.2 Simplifying c = 0.02n-1I-1 + -0.2 Reorder the terms: c = -0.2 + 0.02n-1I-1
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