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Simplifying 3(m + 1.5) = 15(2m + 3) Reorder the terms: 3(1.5 + m) = 15(2m + 3) (1.5 * 3 + m * 3) = 15(2m + 3) (4.5 + 3m) = 15(2m + 3) Reorder the terms: 4.5 + 3m = 15(3 + 2m) 4.5 + 3m = (3 * 15 + 2m * 15) 4.5 + 3m = (45 + 30m) Solving 4.5 + 3m = 45 + 30m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-30m' to each side of the equation. 4.5 + 3m + -30m = 45 + 30m + -30m Combine like terms: 3m + -30m = -27m 4.5 + -27m = 45 + 30m + -30m Combine like terms: 30m + -30m = 0 4.5 + -27m = 45 + 0 4.5 + -27m = 45 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -27m = 45 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -27m = 45 + -4.5 -27m = 45 + -4.5 Combine like terms: 45 + -4.5 = 40.5 -27m = 40.5 Divide each side by '-27'. m = -1.5 Simplifying m = -1.5
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