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Simplifying 2m + -12 = 3m + -31 Reorder the terms: -12 + 2m = 3m + -31 Reorder the terms: -12 + 2m = -31 + 3m Solving -12 + 2m = -31 + 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. -12 + 2m + -3m = -31 + 3m + -3m Combine like terms: 2m + -3m = -1m -12 + -1m = -31 + 3m + -3m Combine like terms: 3m + -3m = 0 -12 + -1m = -31 + 0 -12 + -1m = -31 Add '12' to each side of the equation. -12 + 12 + -1m = -31 + 12 Combine like terms: -12 + 12 = 0 0 + -1m = -31 + 12 -1m = -31 + 12 Combine like terms: -31 + 12 = -19 -1m = -19 Divide each side by '-1'. m = 19 Simplifying m = 19
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