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Simplifying 3(m + 1.5) = -1.5(2m + 3) Reorder the terms: 3(1.5 + m) = -1.5(2m + 3) (1.5 * 3 + m * 3) = -1.5(2m + 3) (4.5 + 3m) = -1.5(2m + 3) Reorder the terms: 4.5 + 3m = -1.5(3 + 2m) 4.5 + 3m = (3 * -1.5 + 2m * -1.5) 4.5 + 3m = (-4.5 + -3m) Solving 4.5 + 3m = -4.5 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 4.5 + 3m + 3m = -4.5 + -3m + 3m Combine like terms: 3m + 3m = 6m 4.5 + 6m = -4.5 + -3m + 3m Combine like terms: -3m + 3m = 0 4.5 + 6m = -4.5 + 0 4.5 + 6m = -4.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 6m = -4.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 6m = -4.5 + -4.5 6m = -4.5 + -4.5 Combine like terms: -4.5 + -4.5 = -9 6m = -9 Divide each side by '6'. m = -1.5 Simplifying m = -1.5
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