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Simplifying 7(n + 4) + 2(n + 5) = 0 Reorder the terms: 7(4 + n) + 2(n + 5) = 0 (4 * 7 + n * 7) + 2(n + 5) = 0 (28 + 7n) + 2(n + 5) = 0 Reorder the terms: 28 + 7n + 2(5 + n) = 0 28 + 7n + (5 * 2 + n * 2) = 0 28 + 7n + (10 + 2n) = 0 Reorder the terms: 28 + 10 + 7n + 2n = 0 Combine like terms: 28 + 10 = 38 38 + 7n + 2n = 0 Combine like terms: 7n + 2n = 9n 38 + 9n = 0 Solving 38 + 9n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + 9n = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 9n = 0 + -38 9n = 0 + -38 Combine like terms: 0 + -38 = -38 9n = -38 Divide each side by '9'. n = -4.222222222 Simplifying n = -4.222222222
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