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Simplifying 2(m + 1.5) = 1.5(2m + 3) Reorder the terms: 2(1.5 + m) = 1.5(2m + 3) (1.5 * 2 + m * 2) = 1.5(2m + 3) (3 + 2m) = 1.5(2m + 3) Reorder the terms: 3 + 2m = 1.5(3 + 2m) 3 + 2m = (3 * 1.5 + 2m * 1.5) 3 + 2m = (4.5 + 3m) Solving 3 + 2m = 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. 3 + 2m + -3m = 4.5 + 3m + -3m Combine like terms: 2m + -3m = -1m 3 + -1m = 4.5 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + -1m = 4.5 + 0 3 + -1m = 4.5 Add '-3' to each side of the equation. 3 + -3 + -1m = 4.5 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 4.5 + -3 -1m = 4.5 + -3 Combine like terms: 4.5 + -3 = 1.5 -1m = 1.5 Divide each side by '-1'. m = -1.5 Simplifying m = -1.5
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