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Simplifying 5m + 17 = 3m + 12 Reorder the terms: 17 + 5m = 3m + 12 Reorder the terms: 17 + 5m = 12 + 3m Solving 17 + 5m = 12 + 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 + 5m + -3m = 12 + 3m + -3m Combine like terms: 5m + -3m = 2m 17 + 2m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 17 + 2m = 12 + 0 17 + 2m = 12 Add '-17' to each side of the equation. 17 + -17 + 2m = 12 + -17 Combine like terms: 17 + -17 = 0 0 + 2m = 12 + -17 2m = 12 + -17 Combine like terms: 12 + -17 = -5 2m = -5 Divide each side by '2'. m = -2.5 Simplifying m = -2.5
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