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Simplifying 3(m + 5) + 2(m + 9) = 0 Reorder the terms: 3(5 + m) + 2(m + 9) = 0 (5 * 3 + m * 3) + 2(m + 9) = 0 (15 + 3m) + 2(m + 9) = 0 Reorder the terms: 15 + 3m + 2(9 + m) = 0 15 + 3m + (9 * 2 + m * 2) = 0 15 + 3m + (18 + 2m) = 0 Reorder the terms: 15 + 18 + 3m + 2m = 0 Combine like terms: 15 + 18 = 33 33 + 3m + 2m = 0 Combine like terms: 3m + 2m = 5m 33 + 5m = 0 Solving 33 + 5m = 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 + 5m = 0 + -33 Combine like terms: 33 + -33 = 0 0 + 5m = 0 + -33 5m = 0 + -33 Combine like terms: 0 + -33 = -33 5m = -33 Divide each side by '5'. m = -6.6 Simplifying m = -6.6
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