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Simplifying 2(n + 4) = 5(4 + -1n) Reorder the terms: 2(4 + n) = 5(4 + -1n) (4 * 2 + n * 2) = 5(4 + -1n) (8 + 2n) = 5(4 + -1n) 8 + 2n = (4 * 5 + -1n * 5) 8 + 2n = (20 + -5n) Solving 8 + 2n = 20 + -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. 8 + 2n + 5n = 20 + -5n + 5n Combine like terms: 2n + 5n = 7n 8 + 7n = 20 + -5n + 5n Combine like terms: -5n + 5n = 0 8 + 7n = 20 + 0 8 + 7n = 20 Add '-8' to each side of the equation. 8 + -8 + 7n = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 7n = 20 + -8 7n = 20 + -8 Combine like terms: 20 + -8 = 12 7n = 12 Divide each side by '7'. n = 1.714285714 Simplifying n = 1.714285714
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