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Simplifying 7(n + 1) = 42 Reorder the terms: 7(1 + n) = 42 (1 * 7 + n * 7) = 42 (7 + 7n) = 42 Solving 7 + 7n = 42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 7n = 42 + -7 Combine like terms: 7 + -7 = 0 0 + 7n = 42 + -7 7n = 42 + -7 Combine like terms: 42 + -7 = 35 7n = 35 Divide each side by '7'. n = 5 Simplifying n = 5
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