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