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Simplifying (3m + 5) * x + (4 + -2m) * y + -5m + -23 = 0 Reorder the terms: (5 + 3m) * x + (4 + -2m) * y + -5m + -23 = 0 Reorder the terms for easier multiplication: x(5 + 3m) + (4 + -2m) * y + -5m + -23 = 0 (5 * x + 3m * x) + (4 + -2m) * y + -5m + -23 = 0 Reorder the terms: (3mx + 5x) + (4 + -2m) * y + -5m + -23 = 0 (3mx + 5x) + (4 + -2m) * y + -5m + -23 = 0 Reorder the terms for easier multiplication: 3mx + 5x + y(4 + -2m) + -5m + -23 = 0 3mx + 5x + (4 * y + -2m * y) + -5m + -23 = 0 Reorder the terms: 3mx + 5x + (-2my + 4y) + -5m + -23 = 0 3mx + 5x + (-2my + 4y) + -5m + -23 = 0 Reorder the terms: -23 + -5m + 3mx + -2my + 5x + 4y = 0 Solving -23 + -5m + 3mx + -2my + 5x + 4y = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '23' to each side of the equation. -23 + -5m + 3mx + -2my + 5x + 23 + 4y = 0 + 23 Reorder the terms: -23 + 23 + -5m + 3mx + -2my + 5x + 4y = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -5m + 3mx + -2my + 5x + 4y = 0 + 23 -5m + 3mx + -2my + 5x + 4y = 0 + 23 Combine like terms: 0 + 23 = 23 -5m + 3mx + -2my + 5x + 4y = 23 Add '-5x' to each side of the equation. -5m + 3mx + -2my + 5x + -5x + 4y = 23 + -5x Combine like terms: 5x + -5x = 0 -5m + 3mx + -2my + 0 + 4y = 23 + -5x -5m + 3mx + -2my + 4y = 23 + -5x Add '-4y' to each side of the equation. -5m + 3mx + -2my + 4y + -4y = 23 + -5x + -4y Combine like terms: 4y + -4y = 0 -5m + 3mx + -2my + 0 = 23 + -5x + -4y -5m + 3mx + -2my = 23 + -5x + -4y Reorder the terms: -23 + -5m + 3mx + -2my + 5x + 4y = 23 + -5x + -4y + -23 + 5x + 4y Reorder the terms: -23 + -5m + 3mx + -2my + 5x + 4y = 23 + -23 + -5x + 5x + -4y + 4y Combine like terms: 23 + -23 = 0 -23 + -5m + 3mx + -2my + 5x + 4y = 0 + -5x + 5x + -4y + 4y -23 + -5m + 3mx + -2my + 5x + 4y = -5x + 5x + -4y + 4y Combine like terms: -5x + 5x = 0 -23 + -5m + 3mx + -2my + 5x + 4y = 0 + -4y + 4y -23 + -5m + 3mx + -2my + 5x + 4y = -4y + 4y Combine like terms: -4y + 4y = 0 -23 + -5m + 3mx + -2my + 5x + 4y = 0 The solution to this equation could not be determined.
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