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Simplifying Ln(x + -6) + -1ln(5) = 1 Reorder the terms: nL(-6 + x) + -1ln(5) = 1 (-6 * nL + x * nL) + -1ln(5) = 1 (-6nL + nxL) + -1ln(5) = 1 Reorder the terms for easier multiplication: -6nL + nxL + -1 * 5ln = 1 Multiply -1 * 5 -6nL + nxL + -5ln = 1 Reorder the terms: -5ln + -6nL + nxL = 1 Solving -5ln + -6nL + nxL = 1 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6nL' to each side of the equation. -5ln + -6nL + 6nL + nxL = 1 + 6nL Combine like terms: -6nL + 6nL = 0 -5ln + 0 + nxL = 1 + 6nL -5ln + nxL = 1 + 6nL Add '-1nxL' to each side of the equation. -5ln + nxL + -1nxL = 1 + 6nL + -1nxL Combine like terms: nxL + -1nxL = 0 -5ln + 0 = 1 + 6nL + -1nxL -5ln = 1 + 6nL + -1nxL Divide each side by '-5n'. l = -0.2n-1 + -1.2L + 0.2xL Simplifying l = -0.2n-1 + -1.2L + 0.2xL Reorder the terms: l = -1.2L + -0.2n-1 + 0.2xL
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