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Simplifying ln(1 + -4k) = -6k (1 * ln + -4k * ln) = -6k Reorder the terms: (-4kln + 1ln) = -6k (-4kln + 1ln) = -6k Solving -4kln + 1ln = -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. -4kln + 6k + 1ln = -6k + 6k Reorder the terms: 6k + -4kln + 1ln = -6k + 6k Combine like terms: -6k + 6k = 0 6k + -4kln + 1ln = 0 Add '-1ln' to each side of the equation. 6k + -4kln + 1ln + -1ln = 0 + -1ln Combine like terms: 1ln + -1ln = 0 6k + -4kln + 0 = 0 + -1ln 6k + -4kln = 0 + -1ln Remove the zero: 6k + -4kln = -1ln Combine like terms: -1ln + ln = 0 6k + -4kln + ln = 0 The solution to this equation could not be determined.
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