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Simplifying 3(m + 1.5) = 5(2m + 3) Reorder the terms: 3(1.5 + m) = 5(2m + 3) (1.5 * 3 + m * 3) = 5(2m + 3) (4.5 + 3m) = 5(2m + 3) Reorder the terms: 4.5 + 3m = 5(3 + 2m) 4.5 + 3m = (3 * 5 + 2m * 5) 4.5 + 3m = (15 + 10m) Solving 4.5 + 3m = 15 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 4.5 + 3m + -10m = 15 + 10m + -10m Combine like terms: 3m + -10m = -7m 4.5 + -7m = 15 + 10m + -10m Combine like terms: 10m + -10m = 0 4.5 + -7m = 15 + 0 4.5 + -7m = 15 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -7m = 15 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -7m = 15 + -4.5 -7m = 15 + -4.5 Combine like terms: 15 + -4.5 = 10.5 -7m = 10.5 Divide each side by '-7'. m = -1.5 Simplifying m = -1.5
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