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Simplifying 3x(2m + 1) + 1 = 0 Reorder the terms: 3x(1 + 2m) + 1 = 0 (1 * 3x + 2m * 3x) + 1 = 0 Reorder the terms: (6mx + 3x) + 1 = 0 (6mx + 3x) + 1 = 0 Reorder the terms: 1 + 6mx + 3x = 0 Solving 1 + 6mx + 3x = 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 + 6mx + -1 + 3x = 0 + -1 Reorder the terms: 1 + -1 + 6mx + 3x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6mx + 3x = 0 + -1 6mx + 3x = 0 + -1 Combine like terms: 0 + -1 = -1 6mx + 3x = -1 Add '-3x' to each side of the equation. 6mx + 3x + -3x = -1 + -3x Combine like terms: 3x + -3x = 0 6mx + 0 = -1 + -3x 6mx = -1 + -3x Divide each side by '6x'. m = -0.1666666667x-1 + -0.5 Simplifying m = -0.1666666667x-1 + -0.5 Reorder the terms: m = -0.5 + -0.1666666667x-1
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