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Simplifying 9(3n + -2) = (8n + 6) + 6 Reorder the terms: 9(-2 + 3n) = (8n + 6) + 6 (-2 * 9 + 3n * 9) = (8n + 6) + 6 (-18 + 27n) = (8n + 6) + 6 Reorder the terms: -18 + 27n = (6 + 8n) + 6 Remove parenthesis around (6 + 8n) -18 + 27n = 6 + 8n + 6 Reorder the terms: -18 + 27n = 6 + 6 + 8n Combine like terms: 6 + 6 = 12 -18 + 27n = 12 + 8n Solving -18 + 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. -18 + 27n + -8n = 12 + 8n + -8n Combine like terms: 27n + -8n = 19n -18 + 19n = 12 + 8n + -8n Combine like terms: 8n + -8n = 0 -18 + 19n = 12 + 0 -18 + 19n = 12 Add '18' to each side of the equation. -18 + 18 + 19n = 12 + 18 Combine like terms: -18 + 18 = 0 0 + 19n = 12 + 18 19n = 12 + 18 Combine like terms: 12 + 18 = 30 19n = 30 Divide each side by '19'. n = 1.578947368 Simplifying n = 1.578947368
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