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Simplifying 9(2n + -4) = (8n + 1) + 8 Reorder the terms: 9(-4 + 2n) = (8n + 1) + 8 (-4 * 9 + 2n * 9) = (8n + 1) + 8 (-36 + 18n) = (8n + 1) + 8 Reorder the terms: -36 + 18n = (1 + 8n) + 8 Remove parenthesis around (1 + 8n) -36 + 18n = 1 + 8n + 8 Reorder the terms: -36 + 18n = 1 + 8 + 8n Combine like terms: 1 + 8 = 9 -36 + 18n = 9 + 8n Solving -36 + 18n = 9 + 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. -36 + 18n + -8n = 9 + 8n + -8n Combine like terms: 18n + -8n = 10n -36 + 10n = 9 + 8n + -8n Combine like terms: 8n + -8n = 0 -36 + 10n = 9 + 0 -36 + 10n = 9 Add '36' to each side of the equation. -36 + 36 + 10n = 9 + 36 Combine like terms: -36 + 36 = 0 0 + 10n = 9 + 36 10n = 9 + 36 Combine like terms: 9 + 36 = 45 10n = 45 Divide each side by '10'. n = 4.5 Simplifying n = 4.5
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