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Simplifying 4m + -17 = 31 + -2m Reorder the terms: -17 + 4m = 31 + -2m Solving -17 + 4m = 31 + -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 + 4m + 2m = 31 + -2m + 2m Combine like terms: 4m + 2m = 6m -17 + 6m = 31 + -2m + 2m Combine like terms: -2m + 2m = 0 -17 + 6m = 31 + 0 -17 + 6m = 31 Add '17' to each side of the equation. -17 + 17 + 6m = 31 + 17 Combine like terms: -17 + 17 = 0 0 + 6m = 31 + 17 6m = 31 + 17 Combine like terms: 31 + 17 = 48 6m = 48 Divide each side by '6'. m = 8 Simplifying m = 8
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