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Simplifying 6m + 2 + 3m = 5m + -6 Reorder the terms: 2 + 6m + 3m = 5m + -6 Combine like terms: 6m + 3m = 9m 2 + 9m = 5m + -6 Reorder the terms: 2 + 9m = -6 + 5m Solving 2 + 9m = -6 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 2 + 9m + -5m = -6 + 5m + -5m Combine like terms: 9m + -5m = 4m 2 + 4m = -6 + 5m + -5m Combine like terms: 5m + -5m = 0 2 + 4m = -6 + 0 2 + 4m = -6 Add '-2' to each side of the equation. 2 + -2 + 4m = -6 + -2 Combine like terms: 2 + -2 = 0 0 + 4m = -6 + -2 4m = -6 + -2 Combine like terms: -6 + -2 = -8 4m = -8 Divide each side by '4'. m = -2 Simplifying m = -2
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