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Simplifying -1n + 8n = 7(n + 8) + -5(4 + n) Combine like terms: -1n + 8n = 7n 7n = 7(n + 8) + -5(4 + n) Reorder the terms: 7n = 7(8 + n) + -5(4 + n) 7n = (8 * 7 + n * 7) + -5(4 + n) 7n = (56 + 7n) + -5(4 + n) 7n = 56 + 7n + (4 * -5 + n * -5) 7n = 56 + 7n + (-20 + -5n) Reorder the terms: 7n = 56 + -20 + 7n + -5n Combine like terms: 56 + -20 = 36 7n = 36 + 7n + -5n Combine like terms: 7n + -5n = 2n 7n = 36 + 2n Solving 7n = 36 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 7n + -2n = 36 + 2n + -2n Combine like terms: 7n + -2n = 5n 5n = 36 + 2n + -2n Combine like terms: 2n + -2n = 0 5n = 36 + 0 5n = 36 Divide each side by '5'. n = 7.2 Simplifying n = 7.2
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