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Simplifying 5(4n + -9) = 32 + -7n Reorder the terms: 5(-9 + 4n) = 32 + -7n (-9 * 5 + 4n * 5) = 32 + -7n (-45 + 20n) = 32 + -7n Solving -45 + 20n = 32 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -45 + 20n + 7n = 32 + -7n + 7n Combine like terms: 20n + 7n = 27n -45 + 27n = 32 + -7n + 7n Combine like terms: -7n + 7n = 0 -45 + 27n = 32 + 0 -45 + 27n = 32 Add '45' to each side of the equation. -45 + 45 + 27n = 32 + 45 Combine like terms: -45 + 45 = 0 0 + 27n = 32 + 45 27n = 32 + 45 Combine like terms: 32 + 45 = 77 27n = 77 Divide each side by '27'. n = 2.851851852 Simplifying n = 2.851851852
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