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Simplifying -9(8n + 3) = 25 + 6n Reorder the terms: -9(3 + 8n) = 25 + 6n (3 * -9 + 8n * -9) = 25 + 6n (-27 + -72n) = 25 + 6n Solving -27 + -72n = 25 + 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. -27 + -72n + -6n = 25 + 6n + -6n Combine like terms: -72n + -6n = -78n -27 + -78n = 25 + 6n + -6n Combine like terms: 6n + -6n = 0 -27 + -78n = 25 + 0 -27 + -78n = 25 Add '27' to each side of the equation. -27 + 27 + -78n = 25 + 27 Combine like terms: -27 + 27 = 0 0 + -78n = 25 + 27 -78n = 25 + 27 Combine like terms: 25 + 27 = 52 -78n = 52 Divide each side by '-78'. n = -0.6666666667 Simplifying n = -0.6666666667
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