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Simplifying 2m + 9 = 5m + -21 Reorder the terms: 9 + 2m = 5m + -21 Reorder the terms: 9 + 2m = -21 + 5m Solving 9 + 2m = -21 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 9 + 2m + -5m = -21 + 5m + -5m Combine like terms: 2m + -5m = -3m 9 + -3m = -21 + 5m + -5m Combine like terms: 5m + -5m = 0 9 + -3m = -21 + 0 9 + -3m = -21 Add '-9' to each side of the equation. 9 + -9 + -3m = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -3m = -21 + -9 -3m = -21 + -9 Combine like terms: -21 + -9 = -30 -3m = -30 Divide each side by '-3'. m = 10 Simplifying m = 10
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