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Simplifying 3m + -21 = -31 + m Reorder the terms: -21 + 3m = -31 + m Solving -21 + 3m = -31 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -21 + 3m + -1m = -31 + m + -1m Combine like terms: 3m + -1m = 2m -21 + 2m = -31 + m + -1m Combine like terms: m + -1m = 0 -21 + 2m = -31 + 0 -21 + 2m = -31 Add '21' to each side of the equation. -21 + 21 + 2m = -31 + 21 Combine like terms: -21 + 21 = 0 0 + 2m = -31 + 21 2m = -31 + 21 Combine like terms: -31 + 21 = -10 2m = -10 Divide each side by '2'. m = -5 Simplifying m = -5
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