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Simplifying (n + 1) + 2(n + 2) + 3(n + 3) = 98 Reorder the terms: (1 + n) + 2(n + 2) + 3(n + 3) = 98 Remove parenthesis around (1 + n) 1 + n + 2(n + 2) + 3(n + 3) = 98 Reorder the terms: 1 + n + 2(2 + n) + 3(n + 3) = 98 1 + n + (2 * 2 + n * 2) + 3(n + 3) = 98 1 + n + (4 + 2n) + 3(n + 3) = 98 Reorder the terms: 1 + n + 4 + 2n + 3(3 + n) = 98 1 + n + 4 + 2n + (3 * 3 + n * 3) = 98 1 + n + 4 + 2n + (9 + 3n) = 98 Reorder the terms: 1 + 4 + 9 + n + 2n + 3n = 98 Combine like terms: 1 + 4 = 5 5 + 9 + n + 2n + 3n = 98 Combine like terms: 5 + 9 = 14 14 + n + 2n + 3n = 98 Combine like terms: n + 2n = 3n 14 + 3n + 3n = 98 Combine like terms: 3n + 3n = 6n 14 + 6n = 98 Solving 14 + 6n = 98 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6n = 98 + -14 Combine like terms: 14 + -14 = 0 0 + 6n = 98 + -14 6n = 98 + -14 Combine like terms: 98 + -14 = 84 6n = 84 Divide each side by '6'. n = 14 Simplifying n = 14
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