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Simplifying 4ln(5z + 4) = 32 Reorder the terms: 4ln(4 + 5z) = 32 (4 * 4ln + 5z * 4ln) = 32 (16ln + 20lnz) = 32 Solving 16ln + 20lnz = 32 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -32 + 16ln + 20lnz = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + 16ln + 20lnz = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-8 + 4ln + 5lnz) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-8 + 4ln + 5lnz)' equal to zero and attempt to solve: Simplifying -8 + 4ln + 5lnz = 0 Solving -8 + 4ln + 5lnz = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4ln + 8 + 5lnz = 0 + 8 Reorder the terms: -8 + 8 + 4ln + 5lnz = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4ln + 5lnz = 0 + 8 4ln + 5lnz = 0 + 8 Combine like terms: 0 + 8 = 8 4ln + 5lnz = 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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