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Simplifying 4n + 5(7n + -3) = 9(n + -9) Reorder the terms: 4n + 5(-3 + 7n) = 9(n + -9) 4n + (-3 * 5 + 7n * 5) = 9(n + -9) 4n + (-15 + 35n) = 9(n + -9) Reorder the terms: -15 + 4n + 35n = 9(n + -9) Combine like terms: 4n + 35n = 39n -15 + 39n = 9(n + -9) Reorder the terms: -15 + 39n = 9(-9 + n) -15 + 39n = (-9 * 9 + n * 9) -15 + 39n = (-81 + 9n) Solving -15 + 39n = -81 + 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. -15 + 39n + -9n = -81 + 9n + -9n Combine like terms: 39n + -9n = 30n -15 + 30n = -81 + 9n + -9n Combine like terms: 9n + -9n = 0 -15 + 30n = -81 + 0 -15 + 30n = -81 Add '15' to each side of the equation. -15 + 15 + 30n = -81 + 15 Combine like terms: -15 + 15 = 0 0 + 30n = -81 + 15 30n = -81 + 15 Combine like terms: -81 + 15 = -66 30n = -66 Divide each side by '30'. n = -2.2 Simplifying n = -2.2
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