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Simplifying 2m + 21 = 3m + 9 Reorder the terms: 21 + 2m = 3m + 9 Reorder the terms: 21 + 2m = 9 + 3m Solving 21 + 2m = 9 + 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. 21 + 2m + -3m = 9 + 3m + -3m Combine like terms: 2m + -3m = -1m 21 + -1m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 21 + -1m = 9 + 0 21 + -1m = 9 Add '-21' to each side of the equation. 21 + -21 + -1m = 9 + -21 Combine like terms: 21 + -21 = 0 0 + -1m = 9 + -21 -1m = 9 + -21 Combine like terms: 9 + -21 = -12 -1m = -12 Divide each side by '-1'. m = 12 Simplifying m = 12
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