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Simplifying 5(n + 1) = 40 Reorder the terms: 5(1 + n) = 40 (1 * 5 + n * 5) = 40 (5 + 5n) = 40 Solving 5 + 5n = 40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5n = 40 + -5 Combine like terms: 5 + -5 = 0 0 + 5n = 40 + -5 5n = 40 + -5 Combine like terms: 40 + -5 = 35 5n = 35 Divide each side by '5'. n = 7 Simplifying n = 7
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