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Simplifying 9(3n + -3) = (8n + 4) + 7 Reorder the terms: 9(-3 + 3n) = (8n + 4) + 7 (-3 * 9 + 3n * 9) = (8n + 4) + 7 (-27 + 27n) = (8n + 4) + 7 Reorder the terms: -27 + 27n = (4 + 8n) + 7 Remove parenthesis around (4 + 8n) -27 + 27n = 4 + 8n + 7 Reorder the terms: -27 + 27n = 4 + 7 + 8n Combine like terms: 4 + 7 = 11 -27 + 27n = 11 + 8n Solving -27 + 27n = 11 + 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. -27 + 27n + -8n = 11 + 8n + -8n Combine like terms: 27n + -8n = 19n -27 + 19n = 11 + 8n + -8n Combine like terms: 8n + -8n = 0 -27 + 19n = 11 + 0 -27 + 19n = 11 Add '27' to each side of the equation. -27 + 27 + 19n = 11 + 27 Combine like terms: -27 + 27 = 0 0 + 19n = 11 + 27 19n = 11 + 27 Combine like terms: 11 + 27 = 38 19n = 38 Divide each side by '19'. n = 2 Simplifying n = 2
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