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Simplifying 3ln(-8r + -2) = 0 Reorder the terms: 3ln(-2 + -8r) = 0 (-2 * 3ln + -8r * 3ln) = 0 (-6ln + -24lnr) = 0 Solving -6ln + -24lnr = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '-6ln'. -6ln(1 + 4r) = 0 Ignore the factor -6.Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 4r)' equal to zero and attempt to solve: Simplifying 1 + 4r = 0 Solving 1 + 4r = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4r = 0 + -1 4r = 0 + -1 Combine like terms: 0 + -1 = -1 4r = -1 Add '-4r' to each side of the equation. 4r + -4r = -1 + -4r Combine like terms: 4r + -4r = 0 0 = -1 + -4r Simplifying 0 = -1 + -4r The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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