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Simplifying 3ln(3z + 7) = 27 Reorder the terms: 3ln(7 + 3z) = 27 (7 * 3ln + 3z * 3ln) = 27 (21ln + 9lnz) = 27 Solving 21ln + 9lnz = 27 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -27 + 21ln + 9lnz = 27 + -27 Combine like terms: 27 + -27 = 0 -27 + 21ln + 9lnz = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-9 + 7ln + 3lnz) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-9 + 7ln + 3lnz)' equal to zero and attempt to solve: Simplifying -9 + 7ln + 3lnz = 0 Solving -9 + 7ln + 3lnz = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 7ln + 9 + 3lnz = 0 + 9 Reorder the terms: -9 + 9 + 7ln + 3lnz = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7ln + 3lnz = 0 + 9 7ln + 3lnz = 0 + 9 Combine like terms: 0 + 9 = 9 7ln + 3lnz = 9 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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