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