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Simplifying 2m + 12 = 3n + -31 Reorder the terms: 12 + 2m = 3n + -31 Reorder the terms: 12 + 2m = -31 + 3n Solving 12 + 2m = -31 + 3n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 2m = -31 + -12 + 3n Combine like terms: 12 + -12 = 0 0 + 2m = -31 + -12 + 3n 2m = -31 + -12 + 3n Combine like terms: -31 + -12 = -43 2m = -43 + 3n Divide each side by '2'. m = -21.5 + 1.5n Simplifying m = -21.5 + 1.5n
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