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Simplifying 4(n + 7) + 3(n + 4) = 0 Reorder the terms: 4(7 + n) + 3(n + 4) = 0 (7 * 4 + n * 4) + 3(n + 4) = 0 (28 + 4n) + 3(n + 4) = 0 Reorder the terms: 28 + 4n + 3(4 + n) = 0 28 + 4n + (4 * 3 + n * 3) = 0 28 + 4n + (12 + 3n) = 0 Reorder the terms: 28 + 12 + 4n + 3n = 0 Combine like terms: 28 + 12 = 40 40 + 4n + 3n = 0 Combine like terms: 4n + 3n = 7n 40 + 7n = 0 Solving 40 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 7n = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 7n = 0 + -40 7n = 0 + -40 Combine like terms: 0 + -40 = -40 7n = -40 Divide each side by '7'. n = -5.714285714 Simplifying n = -5.714285714
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