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Simplifying 9 = 8(n + 4) + -7 Reorder the terms: 9 = 8(4 + n) + -7 9 = (4 * 8 + n * 8) + -7 9 = (32 + 8n) + -7 Reorder the terms: 9 = 32 + -7 + 8n Combine like terms: 32 + -7 = 25 9 = 25 + 8n Solving 9 = 25 + 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. 9 + -8n = 25 + 8n + -8n Combine like terms: 8n + -8n = 0 9 + -8n = 25 + 0 9 + -8n = 25 Add '-9' to each side of the equation. 9 + -9 + -8n = 25 + -9 Combine like terms: 9 + -9 = 0 0 + -8n = 25 + -9 -8n = 25 + -9 Combine like terms: 25 + -9 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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