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Simplifying 390 = 6(8n + 1) Reorder the terms: 390 = 6(1 + 8n) 390 = (1 * 6 + 8n * 6) 390 = (6 + 48n) Solving 390 = 6 + 48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-48n' to each side of the equation. 390 + -48n = 6 + 48n + -48n Combine like terms: 48n + -48n = 0 390 + -48n = 6 + 0 390 + -48n = 6 Add '-390' to each side of the equation. 390 + -390 + -48n = 6 + -390 Combine like terms: 390 + -390 = 0 0 + -48n = 6 + -390 -48n = 6 + -390 Combine like terms: 6 + -390 = -384 -48n = -384 Divide each side by '-48'. n = 8 Simplifying n = 8
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