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Simplifying (2m + 5) * 2 + 4(2m + 5) + 3 = 0 Reorder the terms: (5 + 2m) * 2 + 4(2m + 5) + 3 = 0 Reorder the terms for easier multiplication: 2(5 + 2m) + 4(2m + 5) + 3 = 0 (5 * 2 + 2m * 2) + 4(2m + 5) + 3 = 0 (10 + 4m) + 4(2m + 5) + 3 = 0 Reorder the terms: 10 + 4m + 4(5 + 2m) + 3 = 0 10 + 4m + (5 * 4 + 2m * 4) + 3 = 0 10 + 4m + (20 + 8m) + 3 = 0 Reorder the terms: 10 + 20 + 3 + 4m + 8m = 0 Combine like terms: 10 + 20 = 30 30 + 3 + 4m + 8m = 0 Combine like terms: 30 + 3 = 33 33 + 4m + 8m = 0 Combine like terms: 4m + 8m = 12m 33 + 12m = 0 Solving 33 + 12m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 12m = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 12m = 0 + -33 12m = 0 + -33 Combine like terms: 0 + -33 = -33 12m = -33 Divide each side by '12'. m = -2.75 Simplifying m = -2.75
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