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Simplifying 3(m + 1.5) + 1.5(2m + 3) = 0 Reorder the terms: 3(1.5 + m) + 1.5(2m + 3) = 0 (1.5 * 3 + m * 3) + 1.5(2m + 3) = 0 (4.5 + 3m) + 1.5(2m + 3) = 0 Reorder the terms: 4.5 + 3m + 1.5(3 + 2m) = 0 4.5 + 3m + (3 * 1.5 + 2m * 1.5) = 0 4.5 + 3m + (4.5 + 3m) = 0 Reorder the terms: 4.5 + 4.5 + 3m + 3m = 0 Combine like terms: 4.5 + 4.5 = 9 9 + 3m + 3m = 0 Combine like terms: 3m + 3m = 6m 9 + 6m = 0 Solving 9 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 6m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 6m = 0 + -9 6m = 0 + -9 Combine like terms: 0 + -9 = -9 6m = -9 Divide each side by '6'. m = -1.5 Simplifying m = -1.5
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