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Simplifying 5(n + 10) + 6n = 0 Reorder the terms: 5(10 + n) + 6n = 0 (10 * 5 + n * 5) + 6n = 0 (50 + 5n) + 6n = 0 Combine like terms: 5n + 6n = 11n 50 + 11n = 0 Solving 50 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 11n = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 11n = 0 + -50 11n = 0 + -50 Combine like terms: 0 + -50 = -50 11n = -50 Divide each side by '11'. n = -4.545454545 Simplifying n = -4.545454545
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