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Simplifying (2 + -1m) * x + (3m + -1) * y + 1 + -8m = 0 Reorder the terms for easier multiplication: x(2 + -1m) + (3m + -1) * y + 1 + -8m = 0 (2 * x + -1m * x) + (3m + -1) * y + 1 + -8m = 0 Reorder the terms: (-1mx + 2x) + (3m + -1) * y + 1 + -8m = 0 (-1mx + 2x) + (3m + -1) * y + 1 + -8m = 0 Reorder the terms: -1mx + 2x + (-1 + 3m) * y + 1 + -8m = 0 Reorder the terms for easier multiplication: -1mx + 2x + y(-1 + 3m) + 1 + -8m = 0 -1mx + 2x + (-1 * y + 3m * y) + 1 + -8m = 0 Reorder the terms: -1mx + 2x + (3my + -1y) + 1 + -8m = 0 -1mx + 2x + (3my + -1y) + 1 + -8m = 0 Reorder the terms: 1 + -8m + -1mx + 3my + 2x + -1y = 0 Solving 1 + -8m + -1mx + 3my + 2x + -1y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -8m + -1mx + 3my + 2x + -1 + -1y = 0 + -1 Reorder the terms: 1 + -1 + -8m + -1mx + 3my + 2x + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8m + -1mx + 3my + 2x + -1y = 0 + -1 -8m + -1mx + 3my + 2x + -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -8m + -1mx + 3my + 2x + -1y = -1 Add '-2x' to each side of the equation. -8m + -1mx + 3my + 2x + -2x + -1y = -1 + -2x Combine like terms: 2x + -2x = 0 -8m + -1mx + 3my + 0 + -1y = -1 + -2x -8m + -1mx + 3my + -1y = -1 + -2x Add 'y' to each side of the equation. -8m + -1mx + 3my + -1y + y = -1 + -2x + y Combine like terms: -1y + y = 0 -8m + -1mx + 3my + 0 = -1 + -2x + y -8m + -1mx + 3my = -1 + -2x + y Reorder the terms: 1 + -8m + -1mx + 3my + 2x + -1y = -1 + -2x + y + 1 + 2x + -1y Reorder the terms: 1 + -8m + -1mx + 3my + 2x + -1y = -1 + 1 + -2x + 2x + y + -1y Combine like terms: -1 + 1 = 0 1 + -8m + -1mx + 3my + 2x + -1y = 0 + -2x + 2x + y + -1y 1 + -8m + -1mx + 3my + 2x + -1y = -2x + 2x + y + -1y Combine like terms: -2x + 2x = 0 1 + -8m + -1mx + 3my + 2x + -1y = 0 + y + -1y 1 + -8m + -1mx + 3my + 2x + -1y = y + -1y Combine like terms: y + -1y = 0 1 + -8m + -1mx + 3my + 2x + -1y = 0 The solution to this equation could not be determined.
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