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Simplifying 9(2n + -4) = (8n + 5) + 2 Reorder the terms: 9(-4 + 2n) = (8n + 5) + 2 (-4 * 9 + 2n * 9) = (8n + 5) + 2 (-36 + 18n) = (8n + 5) + 2 Reorder the terms: -36 + 18n = (5 + 8n) + 2 Remove parenthesis around (5 + 8n) -36 + 18n = 5 + 8n + 2 Reorder the terms: -36 + 18n = 5 + 2 + 8n Combine like terms: 5 + 2 = 7 -36 + 18n = 7 + 8n Solving -36 + 18n = 7 + 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 = 7 + 8n + -8n Combine like terms: 18n + -8n = 10n -36 + 10n = 7 + 8n + -8n Combine like terms: 8n + -8n = 0 -36 + 10n = 7 + 0 -36 + 10n = 7 Add '36' to each side of the equation. -36 + 36 + 10n = 7 + 36 Combine like terms: -36 + 36 = 0 0 + 10n = 7 + 36 10n = 7 + 36 Combine like terms: 7 + 36 = 43 10n = 43 Divide each side by '10'. n = 4.3 Simplifying n = 4.3
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