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Simplifying -5(-4 + 8n) + -3 = -26 + 3n (-4 * -5 + 8n * -5) + -3 = -26 + 3n (20 + -40n) + -3 = -26 + 3n Reorder the terms: 20 + -3 + -40n = -26 + 3n Combine like terms: 20 + -3 = 17 17 + -40n = -26 + 3n Solving 17 + -40n = -26 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 17 + -40n + -3n = -26 + 3n + -3n Combine like terms: -40n + -3n = -43n 17 + -43n = -26 + 3n + -3n Combine like terms: 3n + -3n = 0 17 + -43n = -26 + 0 17 + -43n = -26 Add '-17' to each side of the equation. 17 + -17 + -43n = -26 + -17 Combine like terms: 17 + -17 = 0 0 + -43n = -26 + -17 -43n = -26 + -17 Combine like terms: -26 + -17 = -43 -43n = -43 Divide each side by '-43'. n = 1 Simplifying n = 1
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