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Simplifying 4(n + 8) + 3(n + -2) = 0 Reorder the terms: 4(8 + n) + 3(n + -2) = 0 (8 * 4 + n * 4) + 3(n + -2) = 0 (32 + 4n) + 3(n + -2) = 0 Reorder the terms: 32 + 4n + 3(-2 + n) = 0 32 + 4n + (-2 * 3 + n * 3) = 0 32 + 4n + (-6 + 3n) = 0 Reorder the terms: 32 + -6 + 4n + 3n = 0 Combine like terms: 32 + -6 = 26 26 + 4n + 3n = 0 Combine like terms: 4n + 3n = 7n 26 + 7n = 0 Solving 26 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 7n = 0 + -26 Combine like terms: 26 + -26 = 0 0 + 7n = 0 + -26 7n = 0 + -26 Combine like terms: 0 + -26 = -26 7n = -26 Divide each side by '7'. n = -3.714285714 Simplifying n = -3.714285714
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