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Simplifying 14 = 3ln(t + 2) Reorder the terms: 14 = 3ln(2 + t) 14 = (2 * 3ln + t * 3ln) 14 = (6ln + 3lnt) Solving 14 = 6ln + 3lnt Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 14 + -6ln = 6ln + -6ln + 3lnt Combine like terms: 6ln + -6ln = 0 14 + -6ln = 0 + 3lnt 14 + -6ln = 3lnt Add '-3lnt' to each side of the equation. 14 + -6ln + -3lnt = 3lnt + -3lnt Combine like terms: 3lnt + -3lnt = 0 14 + -6ln + -3lnt = 0 Add '-14' to each side of the equation. 14 + -6ln + -14 + -3lnt = 0 + -14 Reorder the terms: 14 + -14 + -6ln + -3lnt = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6ln + -3lnt = 0 + -14 -6ln + -3lnt = 0 + -14 Combine like terms: 0 + -14 = -14 -6ln + -3lnt = -14 Reorder the terms: 14 + -6ln + -3lnt = -14 + 14 Combine like terms: -14 + 14 = 0 14 + -6ln + -3lnt = 0 The solution to this equation could not be determined.
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