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Simplifying 5(m + 2) + 9(n + 4) = 0 Reorder the terms: 5(2 + m) + 9(n + 4) = 0 (2 * 5 + m * 5) + 9(n + 4) = 0 (10 + 5m) + 9(n + 4) = 0 Reorder the terms: 10 + 5m + 9(4 + n) = 0 10 + 5m + (4 * 9 + n * 9) = 0 10 + 5m + (36 + 9n) = 0 Reorder the terms: 10 + 36 + 5m + 9n = 0 Combine like terms: 10 + 36 = 46 46 + 5m + 9n = 0 Solving 46 + 5m + 9n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + 5m + -46 + 9n = 0 + -46 Reorder the terms: 46 + -46 + 5m + 9n = 0 + -46 Combine like terms: 46 + -46 = 0 0 + 5m + 9n = 0 + -46 5m + 9n = 0 + -46 Combine like terms: 0 + -46 = -46 5m + 9n = -46 Add '-9n' to each side of the equation. 5m + 9n + -9n = -46 + -9n Combine like terms: 9n + -9n = 0 5m + 0 = -46 + -9n 5m = -46 + -9n Divide each side by '5'. m = -9.2 + -1.8n Simplifying m = -9.2 + -1.8n
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