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Simplifying 18 = 7ln(1.8x + 3) Reorder the terms: 18 = 7ln(3 + 1.8x) 18 = (3 * 7ln + 1.8x * 7ln) 18 = (21ln + 12.6lnx) Solving 18 = 21ln + 12.6lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-21ln' to each side of the equation. 18 + -21ln = 21ln + -21ln + 12.6lnx Combine like terms: 21ln + -21ln = 0 18 + -21ln = 0 + 12.6lnx 18 + -21ln = 12.6lnx Add '-12.6lnx' to each side of the equation. 18 + -21ln + -12.6lnx = 12.6lnx + -12.6lnx Combine like terms: 12.6lnx + -12.6lnx = 0.0 18 + -21ln + -12.6lnx = 0.0 Add '-18' to each side of the equation. 18 + -21ln + -18 + -12.6lnx = 0.0 + -18 Reorder the terms: 18 + -18 + -21ln + -12.6lnx = 0.0 + -18 Combine like terms: 18 + -18 = 0 0 + -21ln + -12.6lnx = 0.0 + -18 -21ln + -12.6lnx = 0.0 + -18 Combine like terms: 0.0 + -18 = -18 -21ln + -12.6lnx = -18 Reorder the terms: 18 + -21ln + -12.6lnx = -18 + 18 Combine like terms: -18 + 18 = 0 18 + -21ln + -12.6lnx = 0 The solution to this equation could not be determined.
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