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Simplifying 6(8n + 5) = 222 Reorder the terms: 6(5 + 8n) = 222 (5 * 6 + 8n * 6) = 222 (30 + 48n) = 222 Solving 30 + 48n = 222 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 48n = 222 + -30 Combine like terms: 30 + -30 = 0 0 + 48n = 222 + -30 48n = 222 + -30 Combine like terms: 222 + -30 = 192 48n = 192 Divide each side by '48'. n = 4 Simplifying n = 4
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