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Simplifying Ln(12x + -2) = 4 + ln(x + 8) Reorder the terms: nL(-2 + 12x) = 4 + ln(x + 8) (-2 * nL + 12x * nL) = 4 + ln(x + 8) (-2nL + 12nxL) = 4 + ln(x + 8) Reorder the terms: -2nL + 12nxL = 4 + ln(8 + x) -2nL + 12nxL = 4 + (8 * ln + x * ln) -2nL + 12nxL = 4 + (8ln + lnx) Solving -2nL + 12nxL = 4 + 8ln + lnx Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8ln' to each side of the equation. -2nL + -8ln + 12nxL = 4 + 8ln + -8ln + lnx Reorder the terms: -8ln + -2nL + 12nxL = 4 + 8ln + -8ln + lnx Combine like terms: 8ln + -8ln = 0 -8ln + -2nL + 12nxL = 4 + 0 + lnx -8ln + -2nL + 12nxL = 4 + lnx Add '-1lnx' to each side of the equation. -8ln + -2nL + -1lnx + 12nxL = 4 + lnx + -1lnx Reorder the terms: -8ln + -1lnx + -2nL + 12nxL = 4 + lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -8ln + -1lnx + -2nL + 12nxL = 4 + 0 -8ln + -1lnx + -2nL + 12nxL = 4 Reorder the terms: -4 + -8ln + -1lnx + -2nL + 12nxL = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -8ln + -1lnx + -2nL + 12nxL = 0 The solution to this equation could not be determined.
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