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Simplifying (n + 1) * 6 = 42 Reorder the terms: (1 + n) * 6 = 42 Reorder the terms for easier multiplication: 6(1 + n) = 42 (1 * 6 + n * 6) = 42 (6 + 6n) = 42 Solving 6 + 6n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 6n = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 6n = 42 + -6 6n = 42 + -6 Combine like terms: 42 + -6 = 36 6n = 36 Divide each side by '6'. n = 6 Simplifying n = 6
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