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Simplifying 6(3n + -1) = 8n + 24 Reorder the terms: 6(-1 + 3n) = 8n + 24 (-1 * 6 + 3n * 6) = 8n + 24 (-6 + 18n) = 8n + 24 Reorder the terms: -6 + 18n = 24 + 8n Solving -6 + 18n = 24 + 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. -6 + 18n + -8n = 24 + 8n + -8n Combine like terms: 18n + -8n = 10n -6 + 10n = 24 + 8n + -8n Combine like terms: 8n + -8n = 0 -6 + 10n = 24 + 0 -6 + 10n = 24 Add '6' to each side of the equation. -6 + 6 + 10n = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 10n = 24 + 6 10n = 24 + 6 Combine like terms: 24 + 6 = 30 10n = 30 Divide each side by '10'. n = 3 Simplifying n = 3
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