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Simplifying 2m + 17 = 3m + 9 Reorder the terms: 17 + 2m = 3m + 9 Reorder the terms: 17 + 2m = 9 + 3m Solving 17 + 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. 17 + 2m + -3m = 9 + 3m + -3m Combine like terms: 2m + -3m = -1m 17 + -1m = 9 + 3m + -3m Combine like terms: 3m + -3m = 0 17 + -1m = 9 + 0 17 + -1m = 9 Add '-17' to each side of the equation. 17 + -17 + -1m = 9 + -17 Combine like terms: 17 + -17 = 0 0 + -1m = 9 + -17 -1m = 9 + -17 Combine like terms: 9 + -17 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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