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Simplifying 4(n + 3) + 2(n + 1) = 0 Reorder the terms: 4(3 + n) + 2(n + 1) = 0 (3 * 4 + n * 4) + 2(n + 1) = 0 (12 + 4n) + 2(n + 1) = 0 Reorder the terms: 12 + 4n + 2(1 + n) = 0 12 + 4n + (1 * 2 + n * 2) = 0 12 + 4n + (2 + 2n) = 0 Reorder the terms: 12 + 2 + 4n + 2n = 0 Combine like terms: 12 + 2 = 14 14 + 4n + 2n = 0 Combine like terms: 4n + 2n = 6n 14 + 6n = 0 Solving 14 + 6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 6n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 6n = 0 + -14 6n = 0 + -14 Combine like terms: 0 + -14 = -14 6n = -14 Divide each side by '6'. n = -2.333333333 Simplifying n = -2.333333333
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