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Simplifying 6ln(7x + -2) + -8 = 40 Reorder the terms: 6ln(-2 + 7x) + -8 = 40 (-2 * 6ln + 7x * 6ln) + -8 = 40 (-12ln + 42lnx) + -8 = 40 Reorder the terms: -8 + -12ln + 42lnx = 40 Solving -8 + -12ln + 42lnx = 40 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -12ln + 8 + 42lnx = 40 + 8 Reorder the terms: -8 + 8 + -12ln + 42lnx = 40 + 8 Combine like terms: -8 + 8 = 0 0 + -12ln + 42lnx = 40 + 8 -12ln + 42lnx = 40 + 8 Combine like terms: 40 + 8 = 48 -12ln + 42lnx = 48 Reorder the terms: -48 + -12ln + 42lnx = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + -12ln + 42lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-8 + -2ln + 7lnx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-8 + -2ln + 7lnx)' equal to zero and attempt to solve: Simplifying -8 + -2ln + 7lnx = 0 Solving -8 + -2ln + 7lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -2ln + 8 + 7lnx = 0 + 8 Reorder the terms: -8 + 8 + -2ln + 7lnx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -2ln + 7lnx = 0 + 8 -2ln + 7lnx = 0 + 8 Combine like terms: 0 + 8 = 8 -2ln + 7lnx = 8 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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