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Simplifying 6(4n + 5) = 20 + -9n Reorder the terms: 6(5 + 4n) = 20 + -9n (5 * 6 + 4n * 6) = 20 + -9n (30 + 24n) = 20 + -9n Solving 30 + 24n = 20 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 30 + 24n + 9n = 20 + -9n + 9n Combine like terms: 24n + 9n = 33n 30 + 33n = 20 + -9n + 9n Combine like terms: -9n + 9n = 0 30 + 33n = 20 + 0 30 + 33n = 20 Add '-30' to each side of the equation. 30 + -30 + 33n = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 33n = 20 + -30 33n = 20 + -30 Combine like terms: 20 + -30 = -10 33n = -10 Divide each side by '33'. n = -0.303030303 Simplifying n = -0.303030303
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