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Simplifying -5(-5 + 8n) + 6 = 31 + 3n (-5 * -5 + 8n * -5) + 6 = 31 + 3n (25 + -40n) + 6 = 31 + 3n Reorder the terms: 25 + 6 + -40n = 31 + 3n Combine like terms: 25 + 6 = 31 31 + -40n = 31 + 3n Add '-31' to each side of the equation. 31 + -31 + -40n = 31 + -31 + 3n Combine like terms: 31 + -31 = 0 0 + -40n = 31 + -31 + 3n -40n = 31 + -31 + 3n Combine like terms: 31 + -31 = 0 -40n = 0 + 3n -40n = 3n Solving -40n = 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. -40n + -3n = 3n + -3n Combine like terms: -40n + -3n = -43n -43n = 3n + -3n Combine like terms: 3n + -3n = 0 -43n = 0 Divide each side by '-43'. n = 0 Simplifying n = 0
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