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Simplifying 2Ln(x + 3) = ln(x + -2) + 1 Reorder the terms: 2nL(3 + x) = ln(x + -2) + 1 (3 * 2nL + x * 2nL) = ln(x + -2) + 1 (6nL + 2nxL) = ln(x + -2) + 1 Reorder the terms: 6nL + 2nxL = ln(-2 + x) + 1 6nL + 2nxL = (-2 * ln + x * ln) + 1 6nL + 2nxL = (-2ln + lnx) + 1 Reorder the terms: 6nL + 2nxL = 1 + -2ln + lnx Solving 6nL + 2nxL = 1 + -2ln + lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2ln' to each side of the equation. 6nL + 2ln + 2nxL = 1 + -2ln + 2ln + lnx Reorder the terms: 2ln + 6nL + 2nxL = 1 + -2ln + 2ln + lnx Combine like terms: -2ln + 2ln = 0 2ln + 6nL + 2nxL = 1 + 0 + lnx 2ln + 6nL + 2nxL = 1 + lnx Add '-1lnx' to each side of the equation. 2ln + 6nL + -1lnx + 2nxL = 1 + lnx + -1lnx Reorder the terms: 2ln + -1lnx + 6nL + 2nxL = 1 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 2ln + -1lnx + 6nL + 2nxL = 1 + 0 2ln + -1lnx + 6nL + 2nxL = 1 Reorder the terms: -1 + 2ln + -1lnx + 6nL + 2nxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 2ln + -1lnx + 6nL + 2nxL = 0 The solution to this equation could not be determined.
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