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Simplifying 9(n + 1) = 6(n + 5) Reorder the terms: 9(1 + n) = 6(n + 5) (1 * 9 + n * 9) = 6(n + 5) (9 + 9n) = 6(n + 5) Reorder the terms: 9 + 9n = 6(5 + n) 9 + 9n = (5 * 6 + n * 6) 9 + 9n = (30 + 6n) Solving 9 + 9n = 30 + 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. 9 + 9n + -6n = 30 + 6n + -6n Combine like terms: 9n + -6n = 3n 9 + 3n = 30 + 6n + -6n Combine like terms: 6n + -6n = 0 9 + 3n = 30 + 0 9 + 3n = 30 Add '-9' to each side of the equation. 9 + -9 + 3n = 30 + -9 Combine like terms: 9 + -9 = 0 0 + 3n = 30 + -9 3n = 30 + -9 Combine like terms: 30 + -9 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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