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Simplifying m(3x + -1n) + 6 = n(1 + -1x) + 2 Reorder the terms: m(-1n + 3x) + 6 = n(1 + -1x) + 2 (-1n * m + 3x * m) + 6 = n(1 + -1x) + 2 (-1mn + 3mx) + 6 = n(1 + -1x) + 2 Reorder the terms: 6 + -1mn + 3mx = n(1 + -1x) + 2 6 + -1mn + 3mx = (1 * n + -1x * n) + 2 6 + -1mn + 3mx = (1n + -1nx) + 2 Reorder the terms: 6 + -1mn + 3mx = 2 + 1n + -1nx Solving 6 + -1mn + 3mx = 2 + 1n + -1nx Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1mn + -6 + 3mx = 2 + 1n + -6 + -1nx Reorder the terms: 6 + -6 + -1mn + 3mx = 2 + 1n + -6 + -1nx Combine like terms: 6 + -6 = 0 0 + -1mn + 3mx = 2 + 1n + -6 + -1nx -1mn + 3mx = 2 + 1n + -6 + -1nx Reorder the terms: -1mn + 3mx = 2 + -6 + 1n + -1nx Combine like terms: 2 + -6 = -4 -1mn + 3mx = -4 + 1n + -1nx Reorder the terms: 4 + -1mn + 3mx + -1n + nx = -4 + 1n + -1nx + 4 + -1n + nx Reorder the terms: 4 + -1mn + 3mx + -1n + nx = -4 + 4 + 1n + -1n + -1nx + nx Combine like terms: -4 + 4 = 0 4 + -1mn + 3mx + -1n + nx = 0 + 1n + -1n + -1nx + nx 4 + -1mn + 3mx + -1n + nx = 1n + -1n + -1nx + nx Combine like terms: 1n + -1n = 0 4 + -1mn + 3mx + -1n + nx = 0 + -1nx + nx 4 + -1mn + 3mx + -1n + nx = -1nx + nx Combine like terms: -1nx + nx = 0 4 + -1mn + 3mx + -1n + nx = 0 The solution to this equation could not be determined.
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