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Simplifying 9(3n + -5) = (8n + 4) + 7 Reorder the terms: 9(-5 + 3n) = (8n + 4) + 7 (-5 * 9 + 3n * 9) = (8n + 4) + 7 (-45 + 27n) = (8n + 4) + 7 Reorder the terms: -45 + 27n = (4 + 8n) + 7 Remove parenthesis around (4 + 8n) -45 + 27n = 4 + 8n + 7 Reorder the terms: -45 + 27n = 4 + 7 + 8n Combine like terms: 4 + 7 = 11 -45 + 27n = 11 + 8n Solving -45 + 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. -45 + 27n + -8n = 11 + 8n + -8n Combine like terms: 27n + -8n = 19n -45 + 19n = 11 + 8n + -8n Combine like terms: 8n + -8n = 0 -45 + 19n = 11 + 0 -45 + 19n = 11 Add '45' to each side of the equation. -45 + 45 + 19n = 11 + 45 Combine like terms: -45 + 45 = 0 0 + 19n = 11 + 45 19n = 11 + 45 Combine like terms: 11 + 45 = 56 19n = 56 Divide each side by '19'. n = 2.947368421 Simplifying n = 2.947368421
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