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Simplifying 3(n + 6) + 8 = -30 + -4n Reorder the terms: 3(6 + n) + 8 = -30 + -4n (6 * 3 + n * 3) + 8 = -30 + -4n (18 + 3n) + 8 = -30 + -4n Reorder the terms: 18 + 8 + 3n = -30 + -4n Combine like terms: 18 + 8 = 26 26 + 3n = -30 + -4n Solving 26 + 3n = -30 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 26 + 3n + 4n = -30 + -4n + 4n Combine like terms: 3n + 4n = 7n 26 + 7n = -30 + -4n + 4n Combine like terms: -4n + 4n = 0 26 + 7n = -30 + 0 26 + 7n = -30 Add '-26' to each side of the equation. 26 + -26 + 7n = -30 + -26 Combine like terms: 26 + -26 = 0 0 + 7n = -30 + -26 7n = -30 + -26 Combine like terms: -30 + -26 = -56 7n = -56 Divide each side by '7'. n = -8 Simplifying n = -8
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