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Simplifying 204 = 3(8n + 6) + 7n Reorder the terms: 204 = 3(6 + 8n) + 7n 204 = (6 * 3 + 8n * 3) + 7n 204 = (18 + 24n) + 7n Combine like terms: 24n + 7n = 31n 204 = 18 + 31n Solving 204 = 18 + 31n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-31n' to each side of the equation. 204 + -31n = 18 + 31n + -31n Combine like terms: 31n + -31n = 0 204 + -31n = 18 + 0 204 + -31n = 18 Add '-204' to each side of the equation. 204 + -204 + -31n = 18 + -204 Combine like terms: 204 + -204 = 0 0 + -31n = 18 + -204 -31n = 18 + -204 Combine like terms: 18 + -204 = -186 -31n = -186 Divide each side by '-31'. n = 6 Simplifying n = 6
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