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Simplifying 6ln(v + -9) = 12 Reorder the terms: 6ln(-9 + v) = 12 (-9 * 6ln + v * 6ln) = 12 (-54ln + 6lnv) = 12 Solving -54ln + 6lnv = 12 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -12 + -54ln + 6lnv = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -54ln + 6lnv = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-2 + -9ln + lnv) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-2 + -9ln + lnv)' equal to zero and attempt to solve: Simplifying -2 + -9ln + lnv = 0 Solving -2 + -9ln + lnv = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -9ln + 2 + lnv = 0 + 2 Reorder the terms: -2 + 2 + -9ln + lnv = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9ln + lnv = 0 + 2 -9ln + lnv = 0 + 2 Combine like terms: 0 + 2 = 2 -9ln + lnv = 2 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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