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Simplifying 1.5 = 461.87 + 299.4ln(t + 1) Reorder the terms: 1.5 = 461.87 + 299.4ln(1 + t) 1.5 = 461.87 + (1 * 299.4ln + t * 299.4ln) 1.5 = 461.87 + (299.4ln + 299.4lnt) Solving 1.5 = 461.87 + 299.4ln + 299.4lnt Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-299.4ln' to each side of the equation. 1.5 + -299.4ln = 461.87 + 299.4ln + -299.4ln + 299.4lnt Combine like terms: 299.4ln + -299.4ln = 0.0 1.5 + -299.4ln = 461.87 + 0.0 + 299.4lnt 1.5 + -299.4ln = 461.87 + 299.4lnt Add '-299.4lnt' to each side of the equation. 1.5 + -299.4ln + -299.4lnt = 461.87 + 299.4lnt + -299.4lnt Combine like terms: 299.4lnt + -299.4lnt = 0.0 1.5 + -299.4ln + -299.4lnt = 461.87 + 0.0 1.5 + -299.4ln + -299.4lnt = 461.87 Add '-1.5' to each side of the equation. 1.5 + -299.4ln + -1.5 + -299.4lnt = 461.87 + -1.5 Reorder the terms: 1.5 + -1.5 + -299.4ln + -299.4lnt = 461.87 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -299.4ln + -299.4lnt = 461.87 + -1.5 -299.4ln + -299.4lnt = 461.87 + -1.5 Combine like terms: 461.87 + -1.5 = 460.37 -299.4ln + -299.4lnt = 460.37 Reorder the terms: -460.37 + -299.4ln + -299.4lnt = 460.37 + -460.37 Combine like terms: 460.37 + -460.37 = 0.00 -460.37 + -299.4ln + -299.4lnt = 0.00 The solution to this equation could not be determined.
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