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Simplifying 5(n + 2) + 2(n + 4) = 0 Reorder the terms: 5(2 + n) + 2(n + 4) = 0 (2 * 5 + n * 5) + 2(n + 4) = 0 (10 + 5n) + 2(n + 4) = 0 Reorder the terms: 10 + 5n + 2(4 + n) = 0 10 + 5n + (4 * 2 + n * 2) = 0 10 + 5n + (8 + 2n) = 0 Reorder the terms: 10 + 8 + 5n + 2n = 0 Combine like terms: 10 + 8 = 18 18 + 5n + 2n = 0 Combine like terms: 5n + 2n = 7n 18 + 7n = 0 Solving 18 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7n = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 7n = 0 + -18 7n = 0 + -18 Combine like terms: 0 + -18 = -18 7n = -18 Divide each side by '7'. n = -2.571428571 Simplifying n = -2.571428571
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