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Simplifying -4k + 5n(5k + -6) = 3k + -39 Reorder the terms: -4k + 5n(-6 + 5k) = 3k + -39 -4k + (-6 * 5n + 5k * 5n) = 3k + -39 Reorder the terms: -4k + (25kn + -30n) = 3k + -39 -4k + (25kn + -30n) = 3k + -39 Reorder the terms: -4k + 25kn + -30n = -39 + 3k Solving -4k + 25kn + -30n = -39 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -4k + 25kn + -3k + -30n = -39 + 3k + -3k Reorder the terms: -4k + -3k + 25kn + -30n = -39 + 3k + -3k Combine like terms: -4k + -3k = -7k -7k + 25kn + -30n = -39 + 3k + -3k Combine like terms: 3k + -3k = 0 -7k + 25kn + -30n = -39 + 0 -7k + 25kn + -30n = -39 Add '30n' to each side of the equation. -7k + 25kn + -30n + 30n = -39 + 30n Combine like terms: -30n + 30n = 0 -7k + 25kn + 0 = -39 + 30n -7k + 25kn = -39 + 30n Reorder the terms: 39 + -7k + 25kn + -30n = -39 + 30n + 39 + -30n Reorder the terms: 39 + -7k + 25kn + -30n = -39 + 39 + 30n + -30n Combine like terms: -39 + 39 = 0 39 + -7k + 25kn + -30n = 0 + 30n + -30n 39 + -7k + 25kn + -30n = 30n + -30n Combine like terms: 30n + -30n = 0 39 + -7k + 25kn + -30n = 0 The solution to this equation could not be determined.
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