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Simplifying 7m + 31 = 6 + 9m Reorder the terms: 31 + 7m = 6 + 9m Solving 31 + 7m = 6 + 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. 31 + 7m + -9m = 6 + 9m + -9m Combine like terms: 7m + -9m = -2m 31 + -2m = 6 + 9m + -9m Combine like terms: 9m + -9m = 0 31 + -2m = 6 + 0 31 + -2m = 6 Add '-31' to each side of the equation. 31 + -31 + -2m = 6 + -31 Combine like terms: 31 + -31 = 0 0 + -2m = 6 + -31 -2m = 6 + -31 Combine like terms: 6 + -31 = -25 -2m = -25 Divide each side by '-2'. m = 12.5 Simplifying m = 12.5
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