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Simplifying (m + 1.5) = 1.5(2m + 3) Reorder the terms: (1.5 + m) = 1.5(2m + 3) Remove parenthesis around (1.5 + m) 1.5 + m = 1.5(2m + 3) Reorder the terms: 1.5 + m = 1.5(3 + 2m) 1.5 + m = (3 * 1.5 + 2m * 1.5) 1.5 + m = (4.5 + 3m) Solving 1.5 + m = 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. 1.5 + m + -3m = 4.5 + 3m + -3m Combine like terms: m + -3m = -2m 1.5 + -2m = 4.5 + 3m + -3m Combine like terms: 3m + -3m = 0 1.5 + -2m = 4.5 + 0 1.5 + -2m = 4.5 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -2m = 4.5 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -2m = 4.5 + -1.5 -2m = 4.5 + -1.5 Combine like terms: 4.5 + -1.5 = 3 -2m = 3 Divide each side by '-2'. m = -1.5 Simplifying m = -1.5
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