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Simplifying 5(8n + 1) = 5 + -3n Reorder the terms: 5(1 + 8n) = 5 + -3n (1 * 5 + 8n * 5) = 5 + -3n (5 + 40n) = 5 + -3n Add '-5' to each side of the equation. 5 + -5 + 40n = 5 + -5 + -3n Combine like terms: 5 + -5 = 0 0 + 40n = 5 + -5 + -3n 40n = 5 + -5 + -3n Combine like terms: 5 + -5 = 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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