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Simplifying 6(2n + 5) = 114 Reorder the terms: 6(5 + 2n) = 114 (5 * 6 + 2n * 6) = 114 (30 + 12n) = 114 Solving 30 + 12n = 114 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12n = 114 + -30 Combine like terms: 30 + -30 = 0 0 + 12n = 114 + -30 12n = 114 + -30 Combine like terms: 114 + -30 = 84 12n = 84 Divide each side by '12'. n = 7 Simplifying n = 7
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