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Simplifying 12(n + 1) + -11n + 2(n + 1) = 56 Reorder the terms: 12(1 + n) + -11n + 2(n + 1) = 56 (1 * 12 + n * 12) + -11n + 2(n + 1) = 56 (12 + 12n) + -11n + 2(n + 1) = 56 Reorder the terms: 12 + 12n + -11n + 2(1 + n) = 56 12 + 12n + -11n + (1 * 2 + n * 2) = 56 12 + 12n + -11n + (2 + 2n) = 56 Reorder the terms: 12 + 2 + 12n + -11n + 2n = 56 Combine like terms: 12 + 2 = 14 14 + 12n + -11n + 2n = 56 Combine like terms: 12n + -11n = 1n 14 + 1n + 2n = 56 Combine like terms: 1n + 2n = 3n 14 + 3n = 56 Solving 14 + 3n = 56 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 + 3n = 56 + -14 Combine like terms: 14 + -14 = 0 0 + 3n = 56 + -14 3n = 56 + -14 Combine like terms: 56 + -14 = 42 3n = 42 Divide each side by '3'. n = 14 Simplifying n = 14
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