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Simplifying 3m + -17 = 7 + -2m + 40 Reorder the terms: -17 + 3m = 7 + -2m + 40 Reorder the terms: -17 + 3m = 7 + 40 + -2m Combine like terms: 7 + 40 = 47 -17 + 3m = 47 + -2m Solving -17 + 3m = 47 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. -17 + 3m + 2m = 47 + -2m + 2m Combine like terms: 3m + 2m = 5m -17 + 5m = 47 + -2m + 2m Combine like terms: -2m + 2m = 0 -17 + 5m = 47 + 0 -17 + 5m = 47 Add '17' to each side of the equation. -17 + 17 + 5m = 47 + 17 Combine like terms: -17 + 17 = 0 0 + 5m = 47 + 17 5m = 47 + 17 Combine like terms: 47 + 17 = 64 5m = 64 Divide each side by '5'. m = 12.8 Simplifying m = 12.8
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