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Simplifying ln(8) + -1ln + -5x = ln(25) Reorder the terms for easier multiplication: 8ln + -1ln + -5x = ln(25) Combine like terms: 8ln + -1ln = 7ln 7ln + -5x = ln(25) Reorder the terms for easier multiplication: 7ln + -5x = 25ln Solving 7ln + -5x = 25ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-25ln' to each side of the equation. 7ln + -25ln + -5x = 25ln + -25ln Combine like terms: 7ln + -25ln = -18ln -18ln + -5x = 25ln + -25ln Combine like terms: 25ln + -25ln = 0 -18ln + -5x = 0 Add '5x' to each side of the equation. -18ln + -5x + 5x = 0 + 5x Combine like terms: -5x + 5x = 0 -18ln + 0 = 0 + 5x -18ln = 0 + 5x Remove the zero: -18ln = 5x Divide each side by '-18n'. l = -0.2777777778n-1x Simplifying l = -0.2777777778n-1x
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