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Simplifying 2m + 4m + 8 = 3m + -2 Reorder the terms: 8 + 2m + 4m = 3m + -2 Combine like terms: 2m + 4m = 6m 8 + 6m = 3m + -2 Reorder the terms: 8 + 6m = -2 + 3m Solving 8 + 6m = -2 + 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 + 6m + -3m = -2 + 3m + -3m Combine like terms: 6m + -3m = 3m 8 + 3m = -2 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + 3m = -2 + 0 8 + 3m = -2 Add '-8' to each side of the equation. 8 + -8 + 3m = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 3m = -2 + -8 3m = -2 + -8 Combine like terms: -2 + -8 = -10 3m = -10 Divide each side by '3'. m = -3.333333333 Simplifying m = -3.333333333
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