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Simplifying 2(4m + 5) + 8(3m + 1) = 0 Reorder the terms: 2(5 + 4m) + 8(3m + 1) = 0 (5 * 2 + 4m * 2) + 8(3m + 1) = 0 (10 + 8m) + 8(3m + 1) = 0 Reorder the terms: 10 + 8m + 8(1 + 3m) = 0 10 + 8m + (1 * 8 + 3m * 8) = 0 10 + 8m + (8 + 24m) = 0 Reorder the terms: 10 + 8 + 8m + 24m = 0 Combine like terms: 10 + 8 = 18 18 + 8m + 24m = 0 Combine like terms: 8m + 24m = 32m 18 + 32m = 0 Solving 18 + 32m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 32m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 32m = 0 + -18 32m = 0 + -18 Combine like terms: 0 + -18 = -18 32m = -18 Divide each side by '32'. m = -0.5625 Simplifying m = -0.5625
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