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Simplifying n + 7(8n + 5) = 320 Reorder the terms: n + 7(5 + 8n) = 320 n + (5 * 7 + 8n * 7) = 320 n + (35 + 56n) = 320 Reorder the terms: 35 + n + 56n = 320 Combine like terms: n + 56n = 57n 35 + 57n = 320 Solving 35 + 57n = 320 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 57n = 320 + -35 Combine like terms: 35 + -35 = 0 0 + 57n = 320 + -35 57n = 320 + -35 Combine like terms: 320 + -35 = 285 57n = 285 Divide each side by '57'. n = 5 Simplifying n = 5
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