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Simplifying 2m + 31 = 7m + -29 Reorder the terms: 31 + 2m = 7m + -29 Reorder the terms: 31 + 2m = -29 + 7m Solving 31 + 2m = -29 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 31 + 2m + -7m = -29 + 7m + -7m Combine like terms: 2m + -7m = -5m 31 + -5m = -29 + 7m + -7m Combine like terms: 7m + -7m = 0 31 + -5m = -29 + 0 31 + -5m = -29 Add '-31' to each side of the equation. 31 + -31 + -5m = -29 + -31 Combine like terms: 31 + -31 = 0 0 + -5m = -29 + -31 -5m = -29 + -31 Combine like terms: -29 + -31 = -60 -5m = -60 Divide each side by '-5'. m = 12 Simplifying m = 12
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