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