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Simplifying 9(2n + -5) = (8n + 9) + 6 Reorder the terms: 9(-5 + 2n) = (8n + 9) + 6 (-5 * 9 + 2n * 9) = (8n + 9) + 6 (-45 + 18n) = (8n + 9) + 6 Reorder the terms: -45 + 18n = (9 + 8n) + 6 Remove parenthesis around (9 + 8n) -45 + 18n = 9 + 8n + 6 Reorder the terms: -45 + 18n = 9 + 6 + 8n Combine like terms: 9 + 6 = 15 -45 + 18n = 15 + 8n Solving -45 + 18n = 15 + 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. -45 + 18n + -8n = 15 + 8n + -8n Combine like terms: 18n + -8n = 10n -45 + 10n = 15 + 8n + -8n Combine like terms: 8n + -8n = 0 -45 + 10n = 15 + 0 -45 + 10n = 15 Add '45' to each side of the equation. -45 + 45 + 10n = 15 + 45 Combine like terms: -45 + 45 = 0 0 + 10n = 15 + 45 10n = 15 + 45 Combine like terms: 15 + 45 = 60 10n = 60 Divide each side by '10'. n = 6 Simplifying n = 6
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