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Simplifying 2(3m + 5) = 5m + 11 Reorder the terms: 2(5 + 3m) = 5m + 11 (5 * 2 + 3m * 2) = 5m + 11 (10 + 6m) = 5m + 11 Reorder the terms: 10 + 6m = 11 + 5m Solving 10 + 6m = 11 + 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. 10 + 6m + -5m = 11 + 5m + -5m Combine like terms: 6m + -5m = 1m 10 + 1m = 11 + 5m + -5m Combine like terms: 5m + -5m = 0 10 + 1m = 11 + 0 10 + 1m = 11 Add '-10' to each side of the equation. 10 + -10 + 1m = 11 + -10 Combine like terms: 10 + -10 = 0 0 + 1m = 11 + -10 1m = 11 + -10 Combine like terms: 11 + -10 = 1 1m = 1 Divide each side by '1'. m = 1 Simplifying m = 1
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