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Simplifying Ln(x + 1) + -1ln(3) = 2 Reorder the terms: nL(1 + x) + -1ln(3) = 2 (1 * nL + x * nL) + -1ln(3) = 2 (1nL + nxL) + -1ln(3) = 2 Reorder the terms for easier multiplication: 1nL + nxL + -1 * 3ln = 2 Multiply -1 * 3 1nL + nxL + -3ln = 2 Reorder the terms: -3ln + 1nL + nxL = 2 Solving -3ln + 1nL + nxL = 2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1nL' to each side of the equation. -3ln + 1nL + -1nL + nxL = 2 + -1nL Combine like terms: 1nL + -1nL = 0 -3ln + 0 + nxL = 2 + -1nL -3ln + nxL = 2 + -1nL Add '-1nxL' to each side of the equation. -3ln + nxL + -1nxL = 2 + -1nL + -1nxL Combine like terms: nxL + -1nxL = 0 -3ln + 0 = 2 + -1nL + -1nxL -3ln = 2 + -1nL + -1nxL Divide each side by '-3n'. l = -0.6666666667n-1 + 0.3333333333L + 0.3333333333xL Simplifying l = -0.6666666667n-1 + 0.3333333333L + 0.3333333333xL Reorder the terms: l = 0.3333333333L + -0.6666666667n-1 + 0.3333333333xL
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