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Simplifying -1.45 = ln(3t + 2) Reorder the terms: -1.45 = ln(2 + 3t) -1.45 = (2 * ln + 3t * ln) -1.45 = (2ln + 3lnt) Solving -1.45 = 2ln + 3lnt Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln' to each side of the equation. -1.45 + -2ln = 2ln + -2ln + 3lnt Combine like terms: 2ln + -2ln = 0 -1.45 + -2ln = 0 + 3lnt -1.45 + -2ln = 3lnt Add '-3lnt' to each side of the equation. -1.45 + -2ln + -3lnt = 3lnt + -3lnt Combine like terms: 3lnt + -3lnt = 0 -1.45 + -2ln + -3lnt = 0 Add '1.45' to each side of the equation. -1.45 + -2ln + 1.45 + -3lnt = 0 + 1.45 Reorder the terms: -1.45 + 1.45 + -2ln + -3lnt = 0 + 1.45 Combine like terms: -1.45 + 1.45 = 0.00 0.00 + -2ln + -3lnt = 0 + 1.45 -2ln + -3lnt = 0 + 1.45 Combine like terms: 0 + 1.45 = 1.45 -2ln + -3lnt = 1.45 Reorder the terms: -1.45 + -2ln + -3lnt = 1.45 + -1.45 Combine like terms: 1.45 + -1.45 = 0.00 -1.45 + -2ln + -3lnt = 0.00 The solution to this equation could not be determined.
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