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Simplifying 6(2n + 9) = 114 Reorder the terms: 6(9 + 2n) = 114 (9 * 6 + 2n * 6) = 114 (54 + 12n) = 114 Solving 54 + 12n = 114 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 12n = 114 + -54 Combine like terms: 54 + -54 = 0 0 + 12n = 114 + -54 12n = 114 + -54 Combine like terms: 114 + -54 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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