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