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Simplifying 6 + 5(4n + 2) = 116 Reorder the terms: 6 + 5(2 + 4n) = 116 6 + (2 * 5 + 4n * 5) = 116 6 + (10 + 20n) = 116 Combine like terms: 6 + 10 = 16 16 + 20n = 116 Solving 16 + 20n = 116 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 20n = 116 + -16 Combine like terms: 16 + -16 = 0 0 + 20n = 116 + -16 20n = 116 + -16 Combine like terms: 116 + -16 = 100 20n = 100 Divide each side by '20'. n = 5 Simplifying n = 5
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