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Simplifying 7ln(4z + 7) = 56 Reorder the terms: 7ln(7 + 4z) = 56 (7 * 7ln + 4z * 7ln) = 56 (49ln + 28lnz) = 56 Solving 49ln + 28lnz = 56 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -56 + 49ln + 28lnz = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + 49ln + 28lnz = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-8 + 7ln + 4lnz) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-8 + 7ln + 4lnz)' equal to zero and attempt to solve: Simplifying -8 + 7ln + 4lnz = 0 Solving -8 + 7ln + 4lnz = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 7ln + 8 + 4lnz = 0 + 8 Reorder the terms: -8 + 8 + 7ln + 4lnz = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7ln + 4lnz = 0 + 8 7ln + 4lnz = 0 + 8 Combine like terms: 0 + 8 = 8 7ln + 4lnz = 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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