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Simplifying -9 + -4(5 + -9n) = 6n + 31 -9 + (5 * -4 + -9n * -4) = 6n + 31 -9 + (-20 + 36n) = 6n + 31 Combine like terms: -9 + -20 = -29 -29 + 36n = 6n + 31 Reorder the terms: -29 + 36n = 31 + 6n Solving -29 + 36n = 31 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -29 + 36n + -6n = 31 + 6n + -6n Combine like terms: 36n + -6n = 30n -29 + 30n = 31 + 6n + -6n Combine like terms: 6n + -6n = 0 -29 + 30n = 31 + 0 -29 + 30n = 31 Add '29' to each side of the equation. -29 + 29 + 30n = 31 + 29 Combine like terms: -29 + 29 = 0 0 + 30n = 31 + 29 30n = 31 + 29 Combine like terms: 31 + 29 = 60 30n = 60 Divide each side by '30'. n = 2 Simplifying n = 2
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