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Simplifying Ln(x + -1) + -1ln(5) = ln(14) Reorder the terms: nL(-1 + x) + -1ln(5) = ln(14) (-1 * nL + x * nL) + -1ln(5) = ln(14) (-1nL + nxL) + -1ln(5) = ln(14) Reorder the terms for easier multiplication: -1nL + nxL + -1 * 5ln = ln(14) Multiply -1 * 5 -1nL + nxL + -5ln = ln(14) Reorder the terms: -5ln + -1nL + nxL = ln(14) Reorder the terms for easier multiplication: -5ln + -1nL + nxL = 14ln Solving -5ln + -1nL + nxL = 14ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-14ln' to each side of the equation. -5ln + -1nL + -14ln + nxL = 14ln + -14ln Reorder the terms: -5ln + -14ln + -1nL + nxL = 14ln + -14ln Combine like terms: -5ln + -14ln = -19ln -19ln + -1nL + nxL = 14ln + -14ln Combine like terms: 14ln + -14ln = 0 -19ln + -1nL + nxL = 0 Add 'nL' to each side of the equation. -19ln + -1nL + nL + nxL = 0 + nL Combine like terms: -1nL + nL = 0 -19ln + 0 + nxL = 0 + nL -19ln + nxL = 0 + nL Remove the zero: -19ln + nxL = nL Add '-1nxL' to each side of the equation. -19ln + nxL + -1nxL = nL + -1nxL Combine like terms: nxL + -1nxL = 0 -19ln + 0 = nL + -1nxL -19ln = nL + -1nxL Divide each side by '-19n'. l = -0.05263157895L + 0.05263157895xL Simplifying l = -0.05263157895L + 0.05263157895xL
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