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Simplifying 3(m + 12) = 8 + -4m Reorder the terms: 3(12 + m) = 8 + -4m (12 * 3 + m * 3) = 8 + -4m (36 + 3m) = 8 + -4m Solving 36 + 3m = 8 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 36 + 3m + 4m = 8 + -4m + 4m Combine like terms: 3m + 4m = 7m 36 + 7m = 8 + -4m + 4m Combine like terms: -4m + 4m = 0 36 + 7m = 8 + 0 36 + 7m = 8 Add '-36' to each side of the equation. 36 + -36 + 7m = 8 + -36 Combine like terms: 36 + -36 = 0 0 + 7m = 8 + -36 7m = 8 + -36 Combine like terms: 8 + -36 = -28 7m = -28 Divide each side by '7'. m = -4 Simplifying m = -4
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