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Simplifying 4n + 5(7n + -3) = 9(n + -5) Reorder the terms: 4n + 5(-3 + 7n) = 9(n + -5) 4n + (-3 * 5 + 7n * 5) = 9(n + -5) 4n + (-15 + 35n) = 9(n + -5) Reorder the terms: -15 + 4n + 35n = 9(n + -5) Combine like terms: 4n + 35n = 39n -15 + 39n = 9(n + -5) Reorder the terms: -15 + 39n = 9(-5 + n) -15 + 39n = (-5 * 9 + n * 9) -15 + 39n = (-45 + 9n) Solving -15 + 39n = -45 + 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 = -45 + 9n + -9n Combine like terms: 39n + -9n = 30n -15 + 30n = -45 + 9n + -9n Combine like terms: 9n + -9n = 0 -15 + 30n = -45 + 0 -15 + 30n = -45 Add '15' to each side of the equation. -15 + 15 + 30n = -45 + 15 Combine like terms: -15 + 15 = 0 0 + 30n = -45 + 15 30n = -45 + 15 Combine like terms: -45 + 15 = -30 30n = -30 Divide each side by '30'. n = -1 Simplifying n = -1
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