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Simplifying 2(2n + 1) + 3n + -2 = 5n + 7 Reorder the terms: 2(1 + 2n) + 3n + -2 = 5n + 7 (1 * 2 + 2n * 2) + 3n + -2 = 5n + 7 (2 + 4n) + 3n + -2 = 5n + 7 Reorder the terms: 2 + -2 + 4n + 3n = 5n + 7 Combine like terms: 2 + -2 = 0 0 + 4n + 3n = 5n + 7 4n + 3n = 5n + 7 Combine like terms: 4n + 3n = 7n 7n = 5n + 7 Reorder the terms: 7n = 7 + 5n Solving 7n = 7 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7n + -5n = 7 + 5n + -5n Combine like terms: 7n + -5n = 2n 2n = 7 + 5n + -5n Combine like terms: 5n + -5n = 0 2n = 7 + 0 2n = 7 Divide each side by '2'. n = 3.5 Simplifying n = 3.5
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