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Simplifying 8(1 + 10n) + -5 = -8n + 3(1 + 3n) (1 * 8 + 10n * 8) + -5 = -8n + 3(1 + 3n) (8 + 80n) + -5 = -8n + 3(1 + 3n) Reorder the terms: 8 + -5 + 80n = -8n + 3(1 + 3n) Combine like terms: 8 + -5 = 3 3 + 80n = -8n + 3(1 + 3n) 3 + 80n = -8n + (1 * 3 + 3n * 3) 3 + 80n = -8n + (3 + 9n) Reorder the terms: 3 + 80n = 3 + -8n + 9n Combine like terms: -8n + 9n = 1n 3 + 80n = 3 + 1n Add '-3' to each side of the equation. 3 + -3 + 80n = 3 + -3 + 1n Combine like terms: 3 + -3 = 0 0 + 80n = 3 + -3 + 1n 80n = 3 + -3 + 1n Combine like terms: 3 + -3 = 0 80n = 0 + 1n 80n = 1n Solving 80n = 1n 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. 80n + -1n = 1n + -1n Combine like terms: 80n + -1n = 79n 79n = 1n + -1n Combine like terms: 1n + -1n = 0 79n = 0 Divide each side by '79'. n = 0 Simplifying n = 0
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