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Simplifying -0.01t = ln(t + -68) + -1ln(97) Reorder the terms: -0.01t = ln(-68 + t) + -1ln(97) -0.01t = (-68 * ln + t * ln) + -1ln(97) -0.01t = (-68ln + lnt) + -1ln(97) Reorder the terms for easier multiplication: -0.01t = -68ln + lnt + -1 * 97ln Multiply -1 * 97 -0.01t = -68ln + lnt + -97ln Reorder the terms: -0.01t = -68ln + -97ln + lnt Combine like terms: -68ln + -97ln = -165ln -0.01t = -165ln + lnt Solving -0.01t = -165ln + lnt Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1lnt' to each side of the equation. -1lnt + -0.01t = -165ln + lnt + -1lnt Combine like terms: lnt + -1lnt = 0 -1lnt + -0.01t = -165ln + 0 -1lnt + -0.01t = -165ln Reorder the terms: 165ln + -1lnt + -0.01t = -165ln + 165ln Combine like terms: -165ln + 165ln = 0 165ln + -1lnt + -0.01t = 0 The solution to this equation could not be determined.
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