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Simplifying 5m + 31 = 6m + 21 Reorder the terms: 31 + 5m = 6m + 21 Reorder the terms: 31 + 5m = 21 + 6m Solving 31 + 5m = 21 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. 31 + 5m + -6m = 21 + 6m + -6m Combine like terms: 5m + -6m = -1m 31 + -1m = 21 + 6m + -6m Combine like terms: 6m + -6m = 0 31 + -1m = 21 + 0 31 + -1m = 21 Add '-31' to each side of the equation. 31 + -31 + -1m = 21 + -31 Combine like terms: 31 + -31 = 0 0 + -1m = 21 + -31 -1m = 21 + -31 Combine like terms: 21 + -31 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10
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