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Simplifying 3ln(7 + -4p) + 1 = 16 (7 * 3ln + -4p * 3ln) + 1 = 16 (21ln + -12lnp) + 1 = 16 Reorder the terms: 1 + 21ln + -12lnp = 16 Solving 1 + 21ln + -12lnp = 16 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 21ln + -1 + -12lnp = 16 + -1 Reorder the terms: 1 + -1 + 21ln + -12lnp = 16 + -1 Combine like terms: 1 + -1 = 0 0 + 21ln + -12lnp = 16 + -1 21ln + -12lnp = 16 + -1 Combine like terms: 16 + -1 = 15 21ln + -12lnp = 15 Reorder the terms: -15 + 21ln + -12lnp = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + 21ln + -12lnp = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-5 + 7ln + -4lnp) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + 7ln + -4lnp)' equal to zero and attempt to solve: Simplifying -5 + 7ln + -4lnp = 0 Solving -5 + 7ln + -4lnp = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 7ln + 5 + -4lnp = 0 + 5 Reorder the terms: -5 + 5 + 7ln + -4lnp = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7ln + -4lnp = 0 + 5 7ln + -4lnp = 0 + 5 Combine like terms: 0 + 5 = 5 7ln + -4lnp = 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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