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Simplifying -7(4n + -9) = -32 + 8n Reorder the terms: -7(-9 + 4n) = -32 + 8n (-9 * -7 + 4n * -7) = -32 + 8n (63 + -28n) = -32 + 8n Solving 63 + -28n = -32 + 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. 63 + -28n + -8n = -32 + 8n + -8n Combine like terms: -28n + -8n = -36n 63 + -36n = -32 + 8n + -8n Combine like terms: 8n + -8n = 0 63 + -36n = -32 + 0 63 + -36n = -32 Add '-63' to each side of the equation. 63 + -63 + -36n = -32 + -63 Combine like terms: 63 + -63 = 0 0 + -36n = -32 + -63 -36n = -32 + -63 Combine like terms: -32 + -63 = -95 -36n = -95 Divide each side by '-36'. n = 2.638888889 Simplifying n = 2.638888889
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