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Simplifying 5(2ln(8) + -1ln(4) + -1) = 5(ln(16) + -1) Reorder the terms for easier multiplication: 5(2 * 8ln + -1ln(4) + -1) = 5(ln(16) + -1) Multiply 2 * 8 5(16ln + -1ln(4) + -1) = 5(ln(16) + -1) Reorder the terms for easier multiplication: 5(16ln + -1 * 4ln + -1) = 5(ln(16) + -1) Multiply -1 * 4 5(16ln + -4ln + -1) = 5(ln(16) + -1) Reorder the terms: 5(-1 + 16ln + -4ln) = 5(ln(16) + -1) Combine like terms: 16ln + -4ln = 12ln 5(-1 + 12ln) = 5(ln(16) + -1) (-1 * 5 + 12ln * 5) = 5(ln(16) + -1) (-5 + 60ln) = 5(ln(16) + -1) Reorder the terms for easier multiplication: -5 + 60ln = 5(16ln + -1) Reorder the terms: -5 + 60ln = 5(-1 + 16ln) -5 + 60ln = (-1 * 5 + 16ln * 5) -5 + 60ln = (-5 + 80ln) Add '5' to each side of the equation. -5 + 5 + 60ln = -5 + 5 + 80ln Combine like terms: -5 + 5 = 0 0 + 60ln = -5 + 5 + 80ln 60ln = -5 + 5 + 80ln Combine like terms: -5 + 5 = 0 60ln = 0 + 80ln 60ln = 80ln Solving 60ln = 80ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-80ln' to each side of the equation. 60ln + -80ln = 80ln + -80ln Combine like terms: 60ln + -80ln = -20ln -20ln = 80ln + -80ln Combine like terms: 80ln + -80ln = 0 -20ln = 0 Divide each side by '-20'. ln = 0 Simplifying ln = 0 The solution to this equation could not be determined.
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