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Simplifying -92 = -4 + -8(n + 7) Reorder the terms: -92 = -4 + -8(7 + n) -92 = -4 + (7 * -8 + n * -8) -92 = -4 + (-56 + -8n) Combine like terms: -4 + -56 = -60 -92 = -60 + -8n Solving -92 = -60 + -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. -92 + 8n = -60 + -8n + 8n Combine like terms: -8n + 8n = 0 -92 + 8n = -60 + 0 -92 + 8n = -60 Add '92' to each side of the equation. -92 + 92 + 8n = -60 + 92 Combine like terms: -92 + 92 = 0 0 + 8n = -60 + 92 8n = -60 + 92 Combine like terms: -60 + 92 = 32 8n = 32 Divide each side by '8'. n = 4 Simplifying n = 4
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