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Simplifying 2 + -1n + 3n = 4(1 + -7n) + 4(5 + 7n) Combine like terms: -1n + 3n = 2n 2 + 2n = 4(1 + -7n) + 4(5 + 7n) 2 + 2n = (1 * 4 + -7n * 4) + 4(5 + 7n) 2 + 2n = (4 + -28n) + 4(5 + 7n) 2 + 2n = 4 + -28n + (5 * 4 + 7n * 4) 2 + 2n = 4 + -28n + (20 + 28n) Reorder the terms: 2 + 2n = 4 + 20 + -28n + 28n Combine like terms: 4 + 20 = 24 2 + 2n = 24 + -28n + 28n Combine like terms: -28n + 28n = 0 2 + 2n = 24 + 0 2 + 2n = 24 Solving 2 + 2n = 24 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 2n = 24 + -2 Combine like terms: 2 + -2 = 0 0 + 2n = 24 + -2 2n = 24 + -2 Combine like terms: 24 + -2 = 22 2n = 22 Divide each side by '2'. n = 11 Simplifying n = 11
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