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Simplifying 6(5 + -1n) + 5(-1n + 1) = 0 (5 * 6 + -1n * 6) + 5(-1n + 1) = 0 (30 + -6n) + 5(-1n + 1) = 0 Reorder the terms: 30 + -6n + 5(1 + -1n) = 0 30 + -6n + (1 * 5 + -1n * 5) = 0 30 + -6n + (5 + -5n) = 0 Reorder the terms: 30 + 5 + -6n + -5n = 0 Combine like terms: 30 + 5 = 35 35 + -6n + -5n = 0 Combine like terms: -6n + -5n = -11n 35 + -11n = 0 Solving 35 + -11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -11n = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -11n = 0 + -35 -11n = 0 + -35 Combine like terms: 0 + -35 = -35 -11n = -35 Divide each side by '-11'. n = 3.181818182 Simplifying n = 3.181818182
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