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Simplifying 4m + -8 + 6m = 12 + 3m + -2 Reorder the terms: -8 + 4m + 6m = 12 + 3m + -2 Combine like terms: 4m + 6m = 10m -8 + 10m = 12 + 3m + -2 Reorder the terms: -8 + 10m = 12 + -2 + 3m Combine like terms: 12 + -2 = 10 -8 + 10m = 10 + 3m Solving -8 + 10m = 10 + 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. -8 + 10m + -3m = 10 + 3m + -3m Combine like terms: 10m + -3m = 7m -8 + 7m = 10 + 3m + -3m Combine like terms: 3m + -3m = 0 -8 + 7m = 10 + 0 -8 + 7m = 10 Add '8' to each side of the equation. -8 + 8 + 7m = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 7m = 10 + 8 7m = 10 + 8 Combine like terms: 10 + 8 = 18 7m = 18 Divide each side by '7'. m = 2.571428571 Simplifying m = 2.571428571
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