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Simplifying 5(1 + -8n) = 5 + n (1 * 5 + -8n * 5) = 5 + n (5 + -40n) = 5 + n Add '-5' to each side of the equation. 5 + -5 + -40n = 5 + -5 + n Combine like terms: 5 + -5 = 0 0 + -40n = 5 + -5 + n -40n = 5 + -5 + n Combine like terms: 5 + -5 = 0 -40n = 0 + n -40n = n Solving -40n = n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -40n + -1n = n + -1n Combine like terms: -40n + -1n = -41n -41n = n + -1n Combine like terms: n + -1n = 0 -41n = 0 Divide each side by '-41'. n = 0 Simplifying n = 0
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