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Simplifying -4m + 6 = -9m + 31 Reorder the terms: 6 + -4m = -9m + 31 Reorder the terms: 6 + -4m = 31 + -9m Solving 6 + -4m = 31 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. 6 + -4m + 9m = 31 + -9m + 9m Combine like terms: -4m + 9m = 5m 6 + 5m = 31 + -9m + 9m Combine like terms: -9m + 9m = 0 6 + 5m = 31 + 0 6 + 5m = 31 Add '-6' to each side of the equation. 6 + -6 + 5m = 31 + -6 Combine like terms: 6 + -6 = 0 0 + 5m = 31 + -6 5m = 31 + -6 Combine like terms: 31 + -6 = 25 5m = 25 Divide each side by '5'. m = 5 Simplifying m = 5
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