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Simplifying -1(1 + 8n) + 7 = 38 (1 * -1 + 8n * -1) + 7 = 38 (-1 + -8n) + 7 = 38 Reorder the terms: -1 + 7 + -8n = 38 Combine like terms: -1 + 7 = 6 6 + -8n = 38 Solving 6 + -8n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -8n = 38 + -6 Combine like terms: 6 + -6 = 0 0 + -8n = 38 + -6 -8n = 38 + -6 Combine like terms: 38 + -6 = 32 -8n = 32 Divide each side by '-8'. n = -4 Simplifying n = -4
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