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Simplifying 6(6n + 2) + 9(-8n + -1) = 0 Reorder the terms: 6(2 + 6n) + 9(-8n + -1) = 0 (2 * 6 + 6n * 6) + 9(-8n + -1) = 0 (12 + 36n) + 9(-8n + -1) = 0 Reorder the terms: 12 + 36n + 9(-1 + -8n) = 0 12 + 36n + (-1 * 9 + -8n * 9) = 0 12 + 36n + (-9 + -72n) = 0 Reorder the terms: 12 + -9 + 36n + -72n = 0 Combine like terms: 12 + -9 = 3 3 + 36n + -72n = 0 Combine like terms: 36n + -72n = -36n 3 + -36n = 0 Solving 3 + -36n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -36n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -36n = 0 + -3 -36n = 0 + -3 Combine like terms: 0 + -3 = -3 -36n = -3 Divide each side by '-36'. n = 0.08333333333 Simplifying n = 0.08333333333
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