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Simplifying 126 = 6(n + 1) Reorder the terms: 126 = 6(1 + n) 126 = (1 * 6 + n * 6) 126 = (6 + 6n) Solving 126 = 6 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 126 + -6n = 6 + 6n + -6n Combine like terms: 6n + -6n = 0 126 + -6n = 6 + 0 126 + -6n = 6 Add '-126' to each side of the equation. 126 + -126 + -6n = 6 + -126 Combine like terms: 126 + -126 = 0 0 + -6n = 6 + -126 -6n = 6 + -126 Combine like terms: 6 + -126 = -120 -6n = -120 Divide each side by '-6'. n = 20 Simplifying n = 20
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