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Simplifying 9(3n + -1) = (8n + 9) + 1 Reorder the terms: 9(-1 + 3n) = (8n + 9) + 1 (-1 * 9 + 3n * 9) = (8n + 9) + 1 (-9 + 27n) = (8n + 9) + 1 Reorder the terms: -9 + 27n = (9 + 8n) + 1 Remove parenthesis around (9 + 8n) -9 + 27n = 9 + 8n + 1 Reorder the terms: -9 + 27n = 9 + 1 + 8n Combine like terms: 9 + 1 = 10 -9 + 27n = 10 + 8n Solving -9 + 27n = 10 + 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 = 10 + 8n + -8n Combine like terms: 27n + -8n = 19n -9 + 19n = 10 + 8n + -8n Combine like terms: 8n + -8n = 0 -9 + 19n = 10 + 0 -9 + 19n = 10 Add '9' to each side of the equation. -9 + 9 + 19n = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 19n = 10 + 9 19n = 10 + 9 Combine like terms: 10 + 9 = 19 19n = 19 Divide each side by '19'. n = 1 Simplifying n = 1
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