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Simplifying 160 = 51 + 20ln(18t + 1) Reorder the terms: 160 = 51 + 20ln(1 + 18t) 160 = 51 + (1 * 20ln + 18t * 20ln) 160 = 51 + (20ln + 360lnt) Solving 160 = 51 + 20ln + 360lnt Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-20ln' to each side of the equation. 160 + -20ln = 51 + 20ln + -20ln + 360lnt Combine like terms: 20ln + -20ln = 0 160 + -20ln = 51 + 0 + 360lnt 160 + -20ln = 51 + 360lnt Add '-360lnt' to each side of the equation. 160 + -20ln + -360lnt = 51 + 360lnt + -360lnt Combine like terms: 360lnt + -360lnt = 0 160 + -20ln + -360lnt = 51 + 0 160 + -20ln + -360lnt = 51 Add '-160' to each side of the equation. 160 + -20ln + -160 + -360lnt = 51 + -160 Reorder the terms: 160 + -160 + -20ln + -360lnt = 51 + -160 Combine like terms: 160 + -160 = 0 0 + -20ln + -360lnt = 51 + -160 -20ln + -360lnt = 51 + -160 Combine like terms: 51 + -160 = -109 -20ln + -360lnt = -109 Reorder the terms: 109 + -20ln + -360lnt = -109 + 109 Combine like terms: -109 + 109 = 0 109 + -20ln + -360lnt = 0 The solution to this equation could not be determined.
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