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Simplifying ln(x) + -2 = ln(x + -5) Multiply ln * x lnx + -2 = ln(x + -5) Reorder the terms: -2 + lnx = ln(x + -5) Reorder the terms: -2 + lnx = ln(-5 + x) -2 + lnx = (-5 * ln + x * ln) -2 + lnx = (-5ln + lnx) Add '-1lnx' to each side of the equation. -2 + lnx + -1lnx = -5ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -2 + 0 = -5ln + lnx + -1lnx -2 = -5ln + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -2 = -5ln + 0 -2 = -5ln Solving -2 = -5ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '5ln' to each side of the equation. -2 + 5ln = -5ln + 5ln Combine like terms: -5ln + 5ln = 0 -2 + 5ln = 0 Add '2' to each side of the equation. -2 + 2 + 5ln = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5ln = 0 + 2 5ln = 0 + 2 Combine like terms: 0 + 2 = 2 5ln = 2 Divide each side by '5n'. l = 0.4n-1 Simplifying l = 0.4n-1
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