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Simplifying Ln(x + -1) + ln(4) = Ln(14) Reorder the terms: nL(-1 + x) + ln(4) = Ln(14) (-1 * nL + x * nL) + ln(4) = Ln(14) (-1nL + nxL) + ln(4) = Ln(14) Reorder the terms for easier multiplication: -1nL + nxL + 4ln = Ln(14) Reorder the terms: 4ln + -1nL + nxL = Ln(14) Reorder the terms for easier multiplication: 4ln + -1nL + nxL = 14nL Solving 4ln + -1nL + nxL = 14nL Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'nL' to each side of the equation. 4ln + -1nL + nL + nxL = 14nL + nL Combine like terms: -1nL + nL = 0 4ln + 0 + nxL = 14nL + nL 4ln + nxL = 14nL + nL Combine like terms: 14nL + nL = 15nL 4ln + nxL = 15nL Add '-1nxL' to each side of the equation. 4ln + nxL + -1nxL = 15nL + -1nxL Combine like terms: nxL + -1nxL = 0 4ln + 0 = 15nL + -1nxL 4ln = 15nL + -1nxL Divide each side by '4n'. l = 3.75L + -0.25xL Simplifying l = 3.75L + -0.25xL
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