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Simplifying (2m + 7) * 2 + 8(2m + 7) + 12 = 0 Reorder the terms: (7 + 2m) * 2 + 8(2m + 7) + 12 = 0 Reorder the terms for easier multiplication: 2(7 + 2m) + 8(2m + 7) + 12 = 0 (7 * 2 + 2m * 2) + 8(2m + 7) + 12 = 0 (14 + 4m) + 8(2m + 7) + 12 = 0 Reorder the terms: 14 + 4m + 8(7 + 2m) + 12 = 0 14 + 4m + (7 * 8 + 2m * 8) + 12 = 0 14 + 4m + (56 + 16m) + 12 = 0 Reorder the terms: 14 + 56 + 12 + 4m + 16m = 0 Combine like terms: 14 + 56 = 70 70 + 12 + 4m + 16m = 0 Combine like terms: 70 + 12 = 82 82 + 4m + 16m = 0 Combine like terms: 4m + 16m = 20m 82 + 20m = 0 Solving 82 + 20m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-82' to each side of the equation. 82 + -82 + 20m = 0 + -82 Combine like terms: 82 + -82 = 0 0 + 20m = 0 + -82 20m = 0 + -82 Combine like terms: 0 + -82 = -82 20m = -82 Divide each side by '20'. m = -4.1 Simplifying m = -4.1
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