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Simplifying 11 + 7m = 5m + 23 Reorder the terms: 11 + 7m = 23 + 5m Solving 11 + 7m = 23 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 11 + 7m + -5m = 23 + 5m + -5m Combine like terms: 7m + -5m = 2m 11 + 2m = 23 + 5m + -5m Combine like terms: 5m + -5m = 0 11 + 2m = 23 + 0 11 + 2m = 23 Add '-11' to each side of the equation. 11 + -11 + 2m = 23 + -11 Combine like terms: 11 + -11 = 0 0 + 2m = 23 + -11 2m = 23 + -11 Combine like terms: 23 + -11 = 12 2m = 12 Divide each side by '2'. m = 6 Simplifying m = 6
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