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Simplifying 6(2n + 3) = 114 Reorder the terms: 6(3 + 2n) = 114 (3 * 6 + 2n * 6) = 114 (18 + 12n) = 114 Solving 18 + 12n = 114 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 12n = 114 + -18 Combine like terms: 18 + -18 = 0 0 + 12n = 114 + -18 12n = 114 + -18 Combine like terms: 114 + -18 = 96 12n = 96 Divide each side by '12'. n = 8 Simplifying n = 8
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