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Simplifying 3(m + 2) = 4(3 + -1m) Reorder the terms: 3(2 + m) = 4(3 + -1m) (2 * 3 + m * 3) = 4(3 + -1m) (6 + 3m) = 4(3 + -1m) 6 + 3m = (3 * 4 + -1m * 4) 6 + 3m = (12 + -4m) Solving 6 + 3m = 12 + -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. 6 + 3m + 4m = 12 + -4m + 4m Combine like terms: 3m + 4m = 7m 6 + 7m = 12 + -4m + 4m Combine like terms: -4m + 4m = 0 6 + 7m = 12 + 0 6 + 7m = 12 Add '-6' to each side of the equation. 6 + -6 + 7m = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 7m = 12 + -6 7m = 12 + -6 Combine like terms: 12 + -6 = 6 7m = 6 Divide each side by '7'. m = 0.8571428571 Simplifying m = 0.8571428571
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