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Simplifying 5(n + 5) + -1(1 + -4n) = 8n Reorder the terms: 5(5 + n) + -1(1 + -4n) = 8n (5 * 5 + n * 5) + -1(1 + -4n) = 8n (25 + 5n) + -1(1 + -4n) = 8n 25 + 5n + (1 * -1 + -4n * -1) = 8n 25 + 5n + (-1 + 4n) = 8n Reorder the terms: 25 + -1 + 5n + 4n = 8n Combine like terms: 25 + -1 = 24 24 + 5n + 4n = 8n Combine like terms: 5n + 4n = 9n 24 + 9n = 8n Solving 24 + 9n = 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 24 + 9n + -8n = 8n + -8n Combine like terms: 9n + -8n = 1n 24 + 1n = 8n + -8n Combine like terms: 8n + -8n = 0 24 + 1n = 0 Add '-24' to each side of the equation. 24 + -24 + 1n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 1n = 0 + -24 1n = 0 + -24 Combine like terms: 0 + -24 = -24 1n = -24 Divide each side by '1'. n = -24 Simplifying n = -24
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