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Simplifying -2z * ln(7.6) = (2z + -1) * ln(5.3) Reorder the terms for easier multiplication: -2 * 7.6z * ln = (2z + -1) * ln(5.3) Multiply -2 * 7.6 -15.2z * ln = (2z + -1) * ln(5.3) Multiply z * ln -15.2lnz = (2z + -1) * ln(5.3) Reorder the terms: -15.2lnz = (-1 + 2z) * ln(5.3) Reorder the terms for easier multiplication: -15.2lnz = 5.3ln(-1 + 2z) -15.2lnz = (-1 * 5.3ln + 2z * 5.3ln) -15.2lnz = (-5.3ln + 10.6lnz) Solving -15.2lnz = -5.3ln + 10.6lnz Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '5.3ln' to each side of the equation. 5.3ln + -15.2lnz = -5.3ln + 5.3ln + 10.6lnz Combine like terms: -5.3ln + 5.3ln = 0.0 5.3ln + -15.2lnz = 0.0 + 10.6lnz 5.3ln + -15.2lnz = 10.6lnz Add '-10.6lnz' to each side of the equation. 5.3ln + -15.2lnz + -10.6lnz = 10.6lnz + -10.6lnz Combine like terms: -15.2lnz + -10.6lnz = -25.8lnz 5.3ln + -25.8lnz = 10.6lnz + -10.6lnz Combine like terms: 10.6lnz + -10.6lnz = 0.0 5.3ln + -25.8lnz = 0.0 The solution to this equation could not be determined.
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