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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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