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Simplifying -475 = 5n + 8(1 + 8n) -475 = 5n + (1 * 8 + 8n * 8) -475 = 5n + (8 + 64n) Reorder the terms: -475 = 8 + 5n + 64n Combine like terms: 5n + 64n = 69n -475 = 8 + 69n Solving -475 = 8 + 69n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-69n' to each side of the equation. -475 + -69n = 8 + 69n + -69n Combine like terms: 69n + -69n = 0 -475 + -69n = 8 + 0 -475 + -69n = 8 Add '475' to each side of the equation. -475 + 475 + -69n = 8 + 475 Combine like terms: -475 + 475 = 0 0 + -69n = 8 + 475 -69n = 8 + 475 Combine like terms: 8 + 475 = 483 -69n = 483 Divide each side by '-69'. n = -7 Simplifying n = -7
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