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Simplifying -261 = 3n + 5(8 + 8n) -261 = 3n + (8 * 5 + 8n * 5) -261 = 3n + (40 + 40n) Reorder the terms: -261 = 40 + 3n + 40n Combine like terms: 3n + 40n = 43n -261 = 40 + 43n Solving -261 = 40 + 43n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-43n' to each side of the equation. -261 + -43n = 40 + 43n + -43n Combine like terms: 43n + -43n = 0 -261 + -43n = 40 + 0 -261 + -43n = 40 Add '261' to each side of the equation. -261 + 261 + -43n = 40 + 261 Combine like terms: -261 + 261 = 0 0 + -43n = 40 + 261 -43n = 40 + 261 Combine like terms: 40 + 261 = 301 -43n = 301 Divide each side by '-43'. n = -7 Simplifying n = -7
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