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Simplifying 5(n + 1) = 2(n + 7) Reorder the terms: 5(1 + n) = 2(n + 7) (1 * 5 + n * 5) = 2(n + 7) (5 + 5n) = 2(n + 7) Reorder the terms: 5 + 5n = 2(7 + n) 5 + 5n = (7 * 2 + n * 2) 5 + 5n = (14 + 2n) Solving 5 + 5n = 14 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 5 + 5n + -2n = 14 + 2n + -2n Combine like terms: 5n + -2n = 3n 5 + 3n = 14 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 3n = 14 + 0 5 + 3n = 14 Add '-5' to each side of the equation. 5 + -5 + 3n = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 14 + -5 3n = 14 + -5 Combine like terms: 14 + -5 = 9 3n = 9 Divide each side by '3'. n = 3 Simplifying n = 3
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