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Simplifying 9[2(3n + x) + -11x] + 3(x + -3n) = 0 9[(3n * 2 + x * 2) + -11x] + 3(x + -3n) = 0 9[(6n + 2x) + -11x] + 3(x + -3n) = 0 Combine like terms: 2x + -11x = -9x 9[6n + -9x] + 3(x + -3n) = 0 [6n * 9 + -9x * 9] + 3(x + -3n) = 0 [54n + -81x] + 3(x + -3n) = 0 Reorder the terms: 54n + -81x + 3(-3n + x) = 0 54n + -81x + (-3n * 3 + x * 3) = 0 54n + -81x + (-9n + 3x) = 0 Reorder the terms: 54n + -9n + -81x + 3x = 0 Combine like terms: 54n + -9n = 45n 45n + -81x + 3x = 0 Combine like terms: -81x + 3x = -78x 45n + -78x = 0 Solving 45n + -78x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '78x' to each side of the equation. 45n + -78x + 78x = 0 + 78x Combine like terms: -78x + 78x = 0 45n + 0 = 0 + 78x 45n = 0 + 78x Remove the zero: 45n = 78x Divide each side by '45'. n = 1.733333333x Simplifying n = 1.733333333x
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