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Simplifying 3(1 + 6n) = 33 + 8n (1 * 3 + 6n * 3) = 33 + 8n (3 + 18n) = 33 + 8n Solving 3 + 18n = 33 + 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. 3 + 18n + -8n = 33 + 8n + -8n Combine like terms: 18n + -8n = 10n 3 + 10n = 33 + 8n + -8n Combine like terms: 8n + -8n = 0 3 + 10n = 33 + 0 3 + 10n = 33 Add '-3' to each side of the equation. 3 + -3 + 10n = 33 + -3 Combine like terms: 3 + -3 = 0 0 + 10n = 33 + -3 10n = 33 + -3 Combine like terms: 33 + -3 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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