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Simplifying 3m + -2 = 9m + 46 Reorder the terms: -2 + 3m = 9m + 46 Reorder the terms: -2 + 3m = 46 + 9m Solving -2 + 3m = 46 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -2 + 3m + -9m = 46 + 9m + -9m Combine like terms: 3m + -9m = -6m -2 + -6m = 46 + 9m + -9m Combine like terms: 9m + -9m = 0 -2 + -6m = 46 + 0 -2 + -6m = 46 Add '2' to each side of the equation. -2 + 2 + -6m = 46 + 2 Combine like terms: -2 + 2 = 0 0 + -6m = 46 + 2 -6m = 46 + 2 Combine like terms: 46 + 2 = 48 -6m = 48 Divide each side by '-6'. m = -8 Simplifying m = -8
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