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Simplifying 3(n + 5) + 4(n + -1) = 0 Reorder the terms: 3(5 + n) + 4(n + -1) = 0 (5 * 3 + n * 3) + 4(n + -1) = 0 (15 + 3n) + 4(n + -1) = 0 Reorder the terms: 15 + 3n + 4(-1 + n) = 0 15 + 3n + (-1 * 4 + n * 4) = 0 15 + 3n + (-4 + 4n) = 0 Reorder the terms: 15 + -4 + 3n + 4n = 0 Combine like terms: 15 + -4 = 11 11 + 3n + 4n = 0 Combine like terms: 3n + 4n = 7n 11 + 7n = 0 Solving 11 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 7n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 7n = 0 + -11 7n = 0 + -11 Combine like terms: 0 + -11 = -11 7n = -11 Divide each side by '7'. n = -1.571428571 Simplifying n = -1.571428571
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