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Simplifying 2(m + 3) + 3(m + 4) = 0 Reorder the terms: 2(3 + m) + 3(m + 4) = 0 (3 * 2 + m * 2) + 3(m + 4) = 0 (6 + 2m) + 3(m + 4) = 0 Reorder the terms: 6 + 2m + 3(4 + m) = 0 6 + 2m + (4 * 3 + m * 3) = 0 6 + 2m + (12 + 3m) = 0 Reorder the terms: 6 + 12 + 2m + 3m = 0 Combine like terms: 6 + 12 = 18 18 + 2m + 3m = 0 Combine like terms: 2m + 3m = 5m 18 + 5m = 0 Solving 18 + 5m = 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 + 5m = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5m = 0 + -18 5m = 0 + -18 Combine like terms: 0 + -18 = -18 5m = -18 Divide each side by '5'. m = -3.6 Simplifying m = -3.6
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