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Simplifying 68.04 = 20 + 6ln(2q + 1) Reorder the terms: 68.04 = 20 + 6ln(1 + 2q) 68.04 = 20 + (1 * 6ln + 2q * 6ln) 68.04 = 20 + (6ln + 12lnq) Solving 68.04 = 20 + 6ln + 12lnq Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 68.04 + -6ln = 20 + 6ln + -6ln + 12lnq Combine like terms: 6ln + -6ln = 0 68.04 + -6ln = 20 + 0 + 12lnq 68.04 + -6ln = 20 + 12lnq Add '-12lnq' to each side of the equation. 68.04 + -6ln + -12lnq = 20 + 12lnq + -12lnq Combine like terms: 12lnq + -12lnq = 0 68.04 + -6ln + -12lnq = 20 + 0 68.04 + -6ln + -12lnq = 20 Add '-68.04' to each side of the equation. 68.04 + -6ln + -68.04 + -12lnq = 20 + -68.04 Reorder the terms: 68.04 + -68.04 + -6ln + -12lnq = 20 + -68.04 Combine like terms: 68.04 + -68.04 = 0.00 0.00 + -6ln + -12lnq = 20 + -68.04 -6ln + -12lnq = 20 + -68.04 Combine like terms: 20 + -68.04 = -48.04 -6ln + -12lnq = -48.04 Reorder the terms: 48.04 + -6ln + -12lnq = -48.04 + 48.04 Combine like terms: -48.04 + 48.04 = 0.00 48.04 + -6ln + -12lnq = 0.00 The solution to this equation could not be determined.
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