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Simplifying 9 + 9m + -6 = 7m + 31 + -2m Reorder the terms: 9 + -6 + 9m = 7m + 31 + -2m Combine like terms: 9 + -6 = 3 3 + 9m = 7m + 31 + -2m Reorder the terms: 3 + 9m = 31 + 7m + -2m Combine like terms: 7m + -2m = 5m 3 + 9m = 31 + 5m Solving 3 + 9m = 31 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 3 + 9m + -5m = 31 + 5m + -5m Combine like terms: 9m + -5m = 4m 3 + 4m = 31 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + 4m = 31 + 0 3 + 4m = 31 Add '-3' to each side of the equation. 3 + -3 + 4m = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 4m = 31 + -3 4m = 31 + -3 Combine like terms: 31 + -3 = 28 4m = 28 Divide each side by '4'. m = 7 Simplifying m = 7
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