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Simplifying 3(n + 8) + 6n = -42 Reorder the terms: 3(8 + n) + 6n = -42 (8 * 3 + n * 3) + 6n = -42 (24 + 3n) + 6n = -42 Combine like terms: 3n + 6n = 9n 24 + 9n = -42 Solving 24 + 9n = -42 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 9n = -42 + -24 Combine like terms: 24 + -24 = 0 0 + 9n = -42 + -24 9n = -42 + -24 Combine like terms: -42 + -24 = -66 9n = -66 Divide each side by '9'. n = -7.333333333 Simplifying n = -7.333333333
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