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Simplifying (4m + 7) * 2 + 3(4m + 7) + -4 = 0 Reorder the terms: (7 + 4m) * 2 + 3(4m + 7) + -4 = 0 Reorder the terms for easier multiplication: 2(7 + 4m) + 3(4m + 7) + -4 = 0 (7 * 2 + 4m * 2) + 3(4m + 7) + -4 = 0 (14 + 8m) + 3(4m + 7) + -4 = 0 Reorder the terms: 14 + 8m + 3(7 + 4m) + -4 = 0 14 + 8m + (7 * 3 + 4m * 3) + -4 = 0 14 + 8m + (21 + 12m) + -4 = 0 Reorder the terms: 14 + 21 + -4 + 8m + 12m = 0 Combine like terms: 14 + 21 = 35 35 + -4 + 8m + 12m = 0 Combine like terms: 35 + -4 = 31 31 + 8m + 12m = 0 Combine like terms: 8m + 12m = 20m 31 + 20m = 0 Solving 31 + 20m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + 20m = 0 + -31 Combine like terms: 31 + -31 = 0 0 + 20m = 0 + -31 20m = 0 + -31 Combine like terms: 0 + -31 = -31 20m = -31 Divide each side by '20'. m = -1.55 Simplifying m = -1.55
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