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Simplifying 2m + -31 = -9m + 24 Reorder the terms: -31 + 2m = -9m + 24 Reorder the terms: -31 + 2m = 24 + -9m Solving -31 + 2m = 24 + -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. -31 + 2m + 9m = 24 + -9m + 9m Combine like terms: 2m + 9m = 11m -31 + 11m = 24 + -9m + 9m Combine like terms: -9m + 9m = 0 -31 + 11m = 24 + 0 -31 + 11m = 24 Add '31' to each side of the equation. -31 + 31 + 11m = 24 + 31 Combine like terms: -31 + 31 = 0 0 + 11m = 24 + 31 11m = 24 + 31 Combine like terms: 24 + 31 = 55 11m = 55 Divide each side by '11'. m = 5 Simplifying m = 5
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