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Simplifying 0.1ln(5.95 + -10C) + -1ln(5.95) = 0.16ln(500 + 6.25t) (5.95 * 0.1ln + -10C * 0.1ln) + -1ln(5.95) = 0.16ln(500 + 6.25t) (0.595ln + -1lnC) + -1ln(5.95) = 0.16ln(500 + 6.25t) Reorder the terms for easier multiplication: 0.595ln + -1lnC + -1 * 5.95ln = 0.16ln(500 + 6.25t) Multiply -1 * 5.95 0.595ln + -1lnC + -5.95ln = 0.16ln(500 + 6.25t) Reorder the terms: 0.595ln + -5.95ln + -1lnC = 0.16ln(500 + 6.25t) Combine like terms: 0.595ln + -5.95ln = -5.355ln -5.355ln + -1lnC = 0.16ln(500 + 6.25t) -5.355ln + -1lnC = (500 * 0.16ln + 6.25t * 0.16ln) -5.355ln + -1lnC = (80ln + 1lnt) Solving -5.355ln + -1lnC = 80ln + 1lnt 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. -5.355ln + -80ln + -1lnC = 80ln + -80ln + 1lnt Combine like terms: -5.355ln + -80ln = -85.355ln -85.355ln + -1lnC = 80ln + -80ln + 1lnt Combine like terms: 80ln + -80ln = 0 -85.355ln + -1lnC = 0 + 1lnt -85.355ln + -1lnC = 1lnt Add '-1lnt' to each side of the equation. -85.355ln + -1lnC + -1lnt = 1lnt + -1lnt Combine like terms: 1lnt + -1lnt = 0 -85.355ln + -1lnC + -1lnt = 0 The solution to this equation could not be determined.
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