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Simplifying 2x(3m + -5) + -3(5 + -3m) = 0 Reorder the terms: 2x(-5 + 3m) + -3(5 + -3m) = 0 (-5 * 2x + 3m * 2x) + -3(5 + -3m) = 0 Reorder the terms: (6mx + -10x) + -3(5 + -3m) = 0 (6mx + -10x) + -3(5 + -3m) = 0 6mx + -10x + (5 * -3 + -3m * -3) = 0 6mx + -10x + (-15 + 9m) = 0 Reorder the terms: -15 + 9m + 6mx + -10x = 0 Solving -15 + 9m + 6mx + -10x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 9m + 6mx + 15 + -10x = 0 + 15 Reorder the terms: -15 + 15 + 9m + 6mx + -10x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 9m + 6mx + -10x = 0 + 15 9m + 6mx + -10x = 0 + 15 Combine like terms: 0 + 15 = 15 9m + 6mx + -10x = 15 Add '10x' to each side of the equation. 9m + 6mx + -10x + 10x = 15 + 10x Combine like terms: -10x + 10x = 0 9m + 6mx + 0 = 15 + 10x 9m + 6mx = 15 + 10x Reorder the terms: -15 + 9m + 6mx + -10x = 15 + 10x + -15 + -10x Reorder the terms: -15 + 9m + 6mx + -10x = 15 + -15 + 10x + -10x Combine like terms: 15 + -15 = 0 -15 + 9m + 6mx + -10x = 0 + 10x + -10x -15 + 9m + 6mx + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 -15 + 9m + 6mx + -10x = 0 The solution to this equation could not be determined.
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