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Simplifying 9(3n + -1) = (8n + 5) + 7 Reorder the terms: 9(-1 + 3n) = (8n + 5) + 7 (-1 * 9 + 3n * 9) = (8n + 5) + 7 (-9 + 27n) = (8n + 5) + 7 Reorder the terms: -9 + 27n = (5 + 8n) + 7 Remove parenthesis around (5 + 8n) -9 + 27n = 5 + 8n + 7 Reorder the terms: -9 + 27n = 5 + 7 + 8n Combine like terms: 5 + 7 = 12 -9 + 27n = 12 + 8n Solving -9 + 27n = 12 + 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. -9 + 27n + -8n = 12 + 8n + -8n Combine like terms: 27n + -8n = 19n -9 + 19n = 12 + 8n + -8n Combine like terms: 8n + -8n = 0 -9 + 19n = 12 + 0 -9 + 19n = 12 Add '9' to each side of the equation. -9 + 9 + 19n = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 19n = 12 + 9 19n = 12 + 9 Combine like terms: 12 + 9 = 21 19n = 21 Divide each side by '19'. n = 1.105263158 Simplifying n = 1.105263158
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