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Simplifying 43 = 8ln(4.6x + 4) Reorder the terms: 43 = 8ln(4 + 4.6x) 43 = (4 * 8ln + 4.6x * 8ln) 43 = (32ln + 36.8lnx) Solving 43 = 32ln + 36.8lnx 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. 43 + -32ln = 32ln + -32ln + 36.8lnx Combine like terms: 32ln + -32ln = 0 43 + -32ln = 0 + 36.8lnx 43 + -32ln = 36.8lnx Add '-36.8lnx' to each side of the equation. 43 + -32ln + -36.8lnx = 36.8lnx + -36.8lnx Combine like terms: 36.8lnx + -36.8lnx = 0.0 43 + -32ln + -36.8lnx = 0.0 Add '-43' to each side of the equation. 43 + -32ln + -43 + -36.8lnx = 0.0 + -43 Reorder the terms: 43 + -43 + -32ln + -36.8lnx = 0.0 + -43 Combine like terms: 43 + -43 = 0 0 + -32ln + -36.8lnx = 0.0 + -43 -32ln + -36.8lnx = 0.0 + -43 Combine like terms: 0.0 + -43 = -43 -32ln + -36.8lnx = -43 Reorder the terms: 43 + -32ln + -36.8lnx = -43 + 43 Combine like terms: -43 + 43 = 0 43 + -32ln + -36.8lnx = 0 The solution to this equation could not be determined.
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