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Simplifying 3n + -2 + 2(2n + 1) = 6n + 7 Reorder the terms: 3n + -2 + 2(1 + 2n) = 6n + 7 3n + -2 + (1 * 2 + 2n * 2) = 6n + 7 3n + -2 + (2 + 4n) = 6n + 7 Reorder the terms: -2 + 2 + 3n + 4n = 6n + 7 Combine like terms: -2 + 2 = 0 0 + 3n + 4n = 6n + 7 3n + 4n = 6n + 7 Combine like terms: 3n + 4n = 7n 7n = 6n + 7 Reorder the terms: 7n = 7 + 6n Solving 7n = 7 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 7n + -6n = 7 + 6n + -6n Combine like terms: 7n + -6n = 1n 1n = 7 + 6n + -6n Combine like terms: 6n + -6n = 0 1n = 7 + 0 1n = 7 Divide each side by '1'. n = 7 Simplifying n = 7
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