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Simplifying -9(5 + -4n) = -6 + -2n (5 * -9 + -4n * -9) = -6 + -2n (-45 + 36n) = -6 + -2n Solving -45 + 36n = -6 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -45 + 36n + 2n = -6 + -2n + 2n Combine like terms: 36n + 2n = 38n -45 + 38n = -6 + -2n + 2n Combine like terms: -2n + 2n = 0 -45 + 38n = -6 + 0 -45 + 38n = -6 Add '45' to each side of the equation. -45 + 45 + 38n = -6 + 45 Combine like terms: -45 + 45 = 0 0 + 38n = -6 + 45 38n = -6 + 45 Combine like terms: -6 + 45 = 39 38n = 39 Divide each side by '38'. n = 1.026315789 Simplifying n = 1.026315789
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