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Simplifying 9(3n + -5) = (8n + 7) + 9 Reorder the terms: 9(-5 + 3n) = (8n + 7) + 9 (-5 * 9 + 3n * 9) = (8n + 7) + 9 (-45 + 27n) = (8n + 7) + 9 Reorder the terms: -45 + 27n = (7 + 8n) + 9 Remove parenthesis around (7 + 8n) -45 + 27n = 7 + 8n + 9 Reorder the terms: -45 + 27n = 7 + 9 + 8n Combine like terms: 7 + 9 = 16 -45 + 27n = 16 + 8n Solving -45 + 27n = 16 + 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 + 27n + -8n = 16 + 8n + -8n Combine like terms: 27n + -8n = 19n -45 + 19n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 -45 + 19n = 16 + 0 -45 + 19n = 16 Add '45' to each side of the equation. -45 + 45 + 19n = 16 + 45 Combine like terms: -45 + 45 = 0 0 + 19n = 16 + 45 19n = 16 + 45 Combine like terms: 16 + 45 = 61 19n = 61 Divide each side by '19'. n = 3.210526316 Simplifying n = 3.210526316
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