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Simplifying 12 = 5ln(3x + -2) Reorder the terms: 12 = 5ln(-2 + 3x) 12 = (-2 * 5ln + 3x * 5ln) 12 = (-10ln + 15lnx) Solving 12 = -10ln + 15lnx 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. 12 + 10ln = -10ln + 10ln + 15lnx Combine like terms: -10ln + 10ln = 0 12 + 10ln = 0 + 15lnx 12 + 10ln = 15lnx Add '-15lnx' to each side of the equation. 12 + 10ln + -15lnx = 15lnx + -15lnx Combine like terms: 15lnx + -15lnx = 0 12 + 10ln + -15lnx = 0 Add '-12' to each side of the equation. 12 + 10ln + -12 + -15lnx = 0 + -12 Reorder the terms: 12 + -12 + 10ln + -15lnx = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 10ln + -15lnx = 0 + -12 10ln + -15lnx = 0 + -12 Combine like terms: 0 + -12 = -12 10ln + -15lnx = -12 Reorder the terms: 12 + 10ln + -15lnx = -12 + 12 Combine like terms: -12 + 12 = 0 12 + 10ln + -15lnx = 0 The solution to this equation could not be determined.
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