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Simplifying 3x(4m + 1) + -2(4m + 1) = 0 Reorder the terms: 3x(1 + 4m) + -2(4m + 1) = 0 (1 * 3x + 4m * 3x) + -2(4m + 1) = 0 Reorder the terms: (12mx + 3x) + -2(4m + 1) = 0 (12mx + 3x) + -2(4m + 1) = 0 Reorder the terms: 12mx + 3x + -2(1 + 4m) = 0 12mx + 3x + (1 * -2 + 4m * -2) = 0 12mx + 3x + (-2 + -8m) = 0 Reorder the terms: -2 + -8m + 12mx + 3x = 0 Solving -2 + -8m + 12mx + 3x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -8m + 12mx + 2 + 3x = 0 + 2 Reorder the terms: -2 + 2 + -8m + 12mx + 3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -8m + 12mx + 3x = 0 + 2 -8m + 12mx + 3x = 0 + 2 Combine like terms: 0 + 2 = 2 -8m + 12mx + 3x = 2 Add '-3x' to each side of the equation. -8m + 12mx + 3x + -3x = 2 + -3x Combine like terms: 3x + -3x = 0 -8m + 12mx + 0 = 2 + -3x -8m + 12mx = 2 + -3x Reorder the terms: -2 + -8m + 12mx + 3x = 2 + -3x + -2 + 3x Reorder the terms: -2 + -8m + 12mx + 3x = 2 + -2 + -3x + 3x Combine like terms: 2 + -2 = 0 -2 + -8m + 12mx + 3x = 0 + -3x + 3x -2 + -8m + 12mx + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -2 + -8m + 12mx + 3x = 0 The solution to this equation could not be determined.
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