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Simplifying 40 = 8ln(1.8x + 4) Reorder the terms: 40 = 8ln(4 + 1.8x) 40 = (4 * 8ln + 1.8x * 8ln) 40 = (32ln + 14.4lnx) Solving 40 = 32ln + 14.4lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-32ln' to each side of the equation. 40 + -32ln = 32ln + -32ln + 14.4lnx Combine like terms: 32ln + -32ln = 0 40 + -32ln = 0 + 14.4lnx 40 + -32ln = 14.4lnx Add '-14.4lnx' to each side of the equation. 40 + -32ln + -14.4lnx = 14.4lnx + -14.4lnx Combine like terms: 14.4lnx + -14.4lnx = 0.0 40 + -32ln + -14.4lnx = 0.0 Add '-40' to each side of the equation. 40 + -32ln + -40 + -14.4lnx = 0.0 + -40 Reorder the terms: 40 + -40 + -32ln + -14.4lnx = 0.0 + -40 Combine like terms: 40 + -40 = 0 0 + -32ln + -14.4lnx = 0.0 + -40 -32ln + -14.4lnx = 0.0 + -40 Combine like terms: 0.0 + -40 = -40 -32ln + -14.4lnx = -40 Reorder the terms: 40 + -32ln + -14.4lnx = -40 + 40 Combine like terms: -40 + 40 = 0 40 + -32ln + -14.4lnx = 0 The solution to this equation could not be determined.
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