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Simplifying 3(m + 4) + 8 = 2 + m Reorder the terms: 3(4 + m) + 8 = 2 + m (4 * 3 + m * 3) + 8 = 2 + m (12 + 3m) + 8 = 2 + m Reorder the terms: 12 + 8 + 3m = 2 + m Combine like terms: 12 + 8 = 20 20 + 3m = 2 + m Solving 20 + 3m = 2 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 20 + 3m + -1m = 2 + m + -1m Combine like terms: 3m + -1m = 2m 20 + 2m = 2 + m + -1m Combine like terms: m + -1m = 0 20 + 2m = 2 + 0 20 + 2m = 2 Add '-20' to each side of the equation. 20 + -20 + 2m = 2 + -20 Combine like terms: 20 + -20 = 0 0 + 2m = 2 + -20 2m = 2 + -20 Combine like terms: 2 + -20 = -18 2m = -18 Divide each side by '2'. m = -9 Simplifying m = -9
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