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Simplifying 3(m + 2) = 0.50(12m + 24) Reorder the terms: 3(2 + m) = 0.50(12m + 24) (2 * 3 + m * 3) = 0.50(12m + 24) (6 + 3m) = 0.50(12m + 24) Reorder the terms: 6 + 3m = 0.50(24 + 12m) 6 + 3m = (24 * 0.50 + 12m * 0.50) 6 + 3m = (12 + 6m) Solving 6 + 3m = 12 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 6 + 3m + -6m = 12 + 6m + -6m Combine like terms: 3m + -6m = -3m 6 + -3m = 12 + 6m + -6m Combine like terms: 6m + -6m = 0 6 + -3m = 12 + 0 6 + -3m = 12 Add '-6' to each side of the equation. 6 + -6 + -3m = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -3m = 12 + -6 -3m = 12 + -6 Combine like terms: 12 + -6 = 6 -3m = 6 Divide each side by '-3'. m = -2 Simplifying m = -2
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