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Simplifying 6m + 23 = 4m + 31 Reorder the terms: 23 + 6m = 4m + 31 Reorder the terms: 23 + 6m = 31 + 4m Solving 23 + 6m = 31 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 23 + 6m + -4m = 31 + 4m + -4m Combine like terms: 6m + -4m = 2m 23 + 2m = 31 + 4m + -4m Combine like terms: 4m + -4m = 0 23 + 2m = 31 + 0 23 + 2m = 31 Add '-23' to each side of the equation. 23 + -23 + 2m = 31 + -23 Combine like terms: 23 + -23 = 0 0 + 2m = 31 + -23 2m = 31 + -23 Combine like terms: 31 + -23 = 8 2m = 8 Divide each side by '2'. m = 4 Simplifying m = 4
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