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Simplifying 14n + 3(n + 5) = 117 Reorder the terms: 14n + 3(5 + n) = 117 14n + (5 * 3 + n * 3) = 117 14n + (15 + 3n) = 117 Reorder the terms: 15 + 14n + 3n = 117 Combine like terms: 14n + 3n = 17n 15 + 17n = 117 Solving 15 + 17n = 117 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 17n = 117 + -15 Combine like terms: 15 + -15 = 0 0 + 17n = 117 + -15 17n = 117 + -15 Combine like terms: 117 + -15 = 102 17n = 102 Divide each side by '17'. n = 6 Simplifying n = 6
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