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Simplifying 2(6n + 5) + 6n = -14 + 6n Reorder the terms: 2(5 + 6n) + 6n = -14 + 6n (5 * 2 + 6n * 2) + 6n = -14 + 6n (10 + 12n) + 6n = -14 + 6n Combine like terms: 12n + 6n = 18n 10 + 18n = -14 + 6n Solving 10 + 18n = -14 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 10 + 18n + -6n = -14 + 6n + -6n Combine like terms: 18n + -6n = 12n 10 + 12n = -14 + 6n + -6n Combine like terms: 6n + -6n = 0 10 + 12n = -14 + 0 10 + 12n = -14 Add '-10' to each side of the equation. 10 + -10 + 12n = -14 + -10 Combine like terms: 10 + -10 = 0 0 + 12n = -14 + -10 12n = -14 + -10 Combine like terms: -14 + -10 = -24 12n = -24 Divide each side by '12'. n = -2 Simplifying n = -2
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