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Simplifying 3(n + 7) + 2(3n + -8) = 113 Reorder the terms: 3(7 + n) + 2(3n + -8) = 113 (7 * 3 + n * 3) + 2(3n + -8) = 113 (21 + 3n) + 2(3n + -8) = 113 Reorder the terms: 21 + 3n + 2(-8 + 3n) = 113 21 + 3n + (-8 * 2 + 3n * 2) = 113 21 + 3n + (-16 + 6n) = 113 Reorder the terms: 21 + -16 + 3n + 6n = 113 Combine like terms: 21 + -16 = 5 5 + 3n + 6n = 113 Combine like terms: 3n + 6n = 9n 5 + 9n = 113 Solving 5 + 9n = 113 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 + 9n = 113 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = 113 + -5 9n = 113 + -5 Combine like terms: 113 + -5 = 108 9n = 108 Divide each side by '9'. n = 12 Simplifying n = 12
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