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Simplifying 3(4n + 6) = -114 Reorder the terms: 3(6 + 4n) = -114 (6 * 3 + 4n * 3) = -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 = -132 12n = -132 Divide each side by '12'. n = -11 Simplifying n = -11
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