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Simplifying 5(m + 2) = 3m + 12 Reorder the terms: 5(2 + m) = 3m + 12 (2 * 5 + m * 5) = 3m + 12 (10 + 5m) = 3m + 12 Reorder the terms: 10 + 5m = 12 + 3m Solving 10 + 5m = 12 + 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. 10 + 5m + -3m = 12 + 3m + -3m Combine like terms: 5m + -3m = 2m 10 + 2m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 10 + 2m = 12 + 0 10 + 2m = 12 Add '-10' to each side of the equation. 10 + -10 + 2m = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 2m = 12 + -10 2m = 12 + -10 Combine like terms: 12 + -10 = 2 2m = 2 Divide each side by '2'. m = 1 Simplifying m = 1
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