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Simplifying 2m + -9 = 14 + 3m Reorder the terms: -9 + 2m = 14 + 3m Solving -9 + 2m = 14 + 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. -9 + 2m + -3m = 14 + 3m + -3m Combine like terms: 2m + -3m = -1m -9 + -1m = 14 + 3m + -3m Combine like terms: 3m + -3m = 0 -9 + -1m = 14 + 0 -9 + -1m = 14 Add '9' to each side of the equation. -9 + 9 + -1m = 14 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 14 + 9 -1m = 14 + 9 Combine like terms: 14 + 9 = 23 -1m = 23 Divide each side by '-1'. m = -23 Simplifying m = -23
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