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Simplifying 5(m + 2) + 2(m + 5) = 0 Reorder the terms: 5(2 + m) + 2(m + 5) = 0 (2 * 5 + m * 5) + 2(m + 5) = 0 (10 + 5m) + 2(m + 5) = 0 Reorder the terms: 10 + 5m + 2(5 + m) = 0 10 + 5m + (5 * 2 + m * 2) = 0 10 + 5m + (10 + 2m) = 0 Reorder the terms: 10 + 10 + 5m + 2m = 0 Combine like terms: 10 + 10 = 20 20 + 5m + 2m = 0 Combine like terms: 5m + 2m = 7m 20 + 7m = 0 Solving 20 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 7m = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 7m = 0 + -20 7m = 0 + -20 Combine like terms: 0 + -20 = -20 7m = -20 Divide each side by '7'. m = -2.857142857 Simplifying m = -2.857142857
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