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Simplifying -7 + 8(n + 5) = 81 Reorder the terms: -7 + 8(5 + n) = 81 -7 + (5 * 8 + n * 8) = 81 -7 + (40 + 8n) = 81 Combine like terms: -7 + 40 = 33 33 + 8n = 81 Solving 33 + 8n = 81 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33' to each side of the equation. 33 + -33 + 8n = 81 + -33 Combine like terms: 33 + -33 = 0 0 + 8n = 81 + -33 8n = 81 + -33 Combine like terms: 81 + -33 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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