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Simplifying 3(m + 1.5) = (2m + 3) Reorder the terms: 3(1.5 + m) = (2m + 3) (1.5 * 3 + m * 3) = (2m + 3) (4.5 + 3m) = (2m + 3) Reorder the terms: 4.5 + 3m = (3 + 2m) Remove parenthesis around (3 + 2m) 4.5 + 3m = 3 + 2m Solving 4.5 + 3m = 3 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 4.5 + 3m + -2m = 3 + 2m + -2m Combine like terms: 3m + -2m = 1m 4.5 + 1m = 3 + 2m + -2m Combine like terms: 2m + -2m = 0 4.5 + 1m = 3 + 0 4.5 + 1m = 3 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 1m = 3 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 1m = 3 + -4.5 1m = 3 + -4.5 Combine like terms: 3 + -4.5 = -1.5 1m = -1.5 Divide each side by '1'. m = -1.5 Simplifying m = -1.5
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