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Simplifying 40 = 5ln(x + -2) + 6 Reorder the terms: 40 = 5ln(-2 + x) + 6 40 = (-2 * 5ln + x * 5ln) + 6 40 = (-10ln + 5lnx) + 6 Reorder the terms: 40 = 6 + -10ln + 5lnx Solving 40 = 6 + -10ln + 5lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '10ln' to each side of the equation. 40 + 10ln = 6 + -10ln + 10ln + 5lnx Combine like terms: -10ln + 10ln = 0 40 + 10ln = 6 + 0 + 5lnx 40 + 10ln = 6 + 5lnx Add '-5lnx' to each side of the equation. 40 + 10ln + -5lnx = 6 + 5lnx + -5lnx Combine like terms: 5lnx + -5lnx = 0 40 + 10ln + -5lnx = 6 + 0 40 + 10ln + -5lnx = 6 Add '-40' to each side of the equation. 40 + 10ln + -40 + -5lnx = 6 + -40 Reorder the terms: 40 + -40 + 10ln + -5lnx = 6 + -40 Combine like terms: 40 + -40 = 0 0 + 10ln + -5lnx = 6 + -40 10ln + -5lnx = 6 + -40 Combine like terms: 6 + -40 = -34 10ln + -5lnx = -34 Reorder the terms: 34 + 10ln + -5lnx = -34 + 34 Combine like terms: -34 + 34 = 0 34 + 10ln + -5lnx = 0 The solution to this equation could not be determined.
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