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Simplifying ln + -5n = ln(4 + -3n) ln + -5n = (4 * ln + -3n * ln) ln + -5n = (4ln + -3ln2) Solving ln + -5n = 4ln + -3ln2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-4ln' to each side of the equation. ln + -4ln + -5n = 4ln + -4ln + -3ln2 Combine like terms: ln + -4ln = -3ln -3ln + -5n = 4ln + -4ln + -3ln2 Combine like terms: 4ln + -4ln = 0 -3ln + -5n = 0 + -3ln2 -3ln + -5n = -3ln2 Add '3ln2' to each side of the equation. -3ln + 3ln2 + -5n = -3ln2 + 3ln2 Combine like terms: -3ln2 + 3ln2 = 0 -3ln + 3ln2 + -5n = 0 Add '5n' to each side of the equation. -3ln + 3ln2 + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 -3ln + 3ln2 + 0 = 0 + 5n -3ln + 3ln2 = 0 + 5n Remove the zero: -3ln + 3ln2 = 5n Combine like terms: 5n + -5n = 0 -3ln + 3ln2 + -5n = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-3l + 3ln + -5) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3l + 3ln + -5)' equal to zero and attempt to solve: Simplifying -3l + 3ln + -5 = 0 Reorder the terms: -5 + -3l + 3ln = 0 Solving -5 + -3l + 3ln = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -3l + 5 + 3ln = 0 + 5 Reorder the terms: -5 + 5 + -3l + 3ln = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3l + 3ln = 0 + 5 -3l + 3ln = 0 + 5 Combine like terms: 0 + 5 = 5 -3l + 3ln = 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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