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Simplifying 4ln(4 + -5p) + 3 = 23 (4 * 4ln + -5p * 4ln) + 3 = 23 (16ln + -20lnp) + 3 = 23 Reorder the terms: 3 + 16ln + -20lnp = 23 Solving 3 + 16ln + -20lnp = 23 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 16ln + -3 + -20lnp = 23 + -3 Reorder the terms: 3 + -3 + 16ln + -20lnp = 23 + -3 Combine like terms: 3 + -3 = 0 0 + 16ln + -20lnp = 23 + -3 16ln + -20lnp = 23 + -3 Combine like terms: 23 + -3 = 20 16ln + -20lnp = 20 Reorder the terms: -20 + 16ln + -20lnp = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 16ln + -20lnp = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-5 + 4ln + -5lnp) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-5 + 4ln + -5lnp)' equal to zero and attempt to solve: Simplifying -5 + 4ln + -5lnp = 0 Solving -5 + 4ln + -5lnp = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4ln + 5 + -5lnp = 0 + 5 Reorder the terms: -5 + 5 + 4ln + -5lnp = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4ln + -5lnp = 0 + 5 4ln + -5lnp = 0 + 5 Combine like terms: 0 + 5 = 5 4ln + -5lnp = 5 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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