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Simplifying 2(n + 7) + 5(n + 8) = 0 Reorder the terms: 2(7 + n) + 5(n + 8) = 0 (7 * 2 + n * 2) + 5(n + 8) = 0 (14 + 2n) + 5(n + 8) = 0 Reorder the terms: 14 + 2n + 5(8 + n) = 0 14 + 2n + (8 * 5 + n * 5) = 0 14 + 2n + (40 + 5n) = 0 Reorder the terms: 14 + 40 + 2n + 5n = 0 Combine like terms: 14 + 40 = 54 54 + 2n + 5n = 0 Combine like terms: 2n + 5n = 7n 54 + 7n = 0 Solving 54 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-54' to each side of the equation. 54 + -54 + 7n = 0 + -54 Combine like terms: 54 + -54 = 0 0 + 7n = 0 + -54 7n = 0 + -54 Combine like terms: 0 + -54 = -54 7n = -54 Divide each side by '7'. n = -7.714285714 Simplifying n = -7.714285714
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