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Simplifying 8(m + 2(2m + 6)) = 0 Reorder the terms: 8(m + 2(6 + 2m)) = 0 8(m + (6 * 2 + 2m * 2)) = 0 8(m + (12 + 4m)) = 0 Reorder the terms: 8(12 + m + 4m) = 0 Combine like terms: m + 4m = 5m 8(12 + 5m) = 0 (12 * 8 + 5m * 8) = 0 (96 + 40m) = 0 Solving 96 + 40m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + 40m = 0 + -96 Combine like terms: 96 + -96 = 0 0 + 40m = 0 + -96 40m = 0 + -96 Combine like terms: 0 + -96 = -96 40m = -96 Divide each side by '40'. m = -2.4 Simplifying m = -2.4
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