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Simplifying -4(-9n + 6) + 9(n + 4) = 0 Reorder the terms: -4(6 + -9n) + 9(n + 4) = 0 (6 * -4 + -9n * -4) + 9(n + 4) = 0 (-24 + 36n) + 9(n + 4) = 0 Reorder the terms: -24 + 36n + 9(4 + n) = 0 -24 + 36n + (4 * 9 + n * 9) = 0 -24 + 36n + (36 + 9n) = 0 Reorder the terms: -24 + 36 + 36n + 9n = 0 Combine like terms: -24 + 36 = 12 12 + 36n + 9n = 0 Combine like terms: 36n + 9n = 45n 12 + 45n = 0 Solving 12 + 45n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 45n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 45n = 0 + -12 45n = 0 + -12 Combine like terms: 0 + -12 = -12 45n = -12 Divide each side by '45'. n = -0.2666666667 Simplifying n = -0.2666666667
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