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Simplifying 3m + 46 = 9m + -2 Reorder the terms: 46 + 3m = 9m + -2 Reorder the terms: 46 + 3m = -2 + 9m Solving 46 + 3m = -2 + 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. 46 + 3m + -9m = -2 + 9m + -9m Combine like terms: 3m + -9m = -6m 46 + -6m = -2 + 9m + -9m Combine like terms: 9m + -9m = 0 46 + -6m = -2 + 0 46 + -6m = -2 Add '-46' to each side of the equation. 46 + -46 + -6m = -2 + -46 Combine like terms: 46 + -46 = 0 0 + -6m = -2 + -46 -6m = -2 + -46 Combine like terms: -2 + -46 = -48 -6m = -48 Divide each side by '-6'. m = 8 Simplifying m = 8
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