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Simplifying (K + 4)(5k + -1) = 0 Reorder the terms: (4 + K)(5k + -1) = 0 Reorder the terms: (4 + K)(-1 + 5k) = 0 Multiply (4 + K) * (-1 + 5k) (4(-1 + 5k) + K(-1 + 5k)) = 0 ((-1 * 4 + 5k * 4) + K(-1 + 5k)) = 0 ((-4 + 20k) + K(-1 + 5k)) = 0 (-4 + 20k + (-1 * K + 5k * K)) = 0 (-4 + 20k + (-1K + 5kK)) = 0 Reorder the terms: (-4 + -1K + 20k + 5kK) = 0 (-4 + -1K + 20k + 5kK) = 0 Solving -4 + -1K + 20k + 5kK = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1K + 20k + 4 + 5kK = 0 + 4 Reorder the terms: -4 + 4 + -1K + 20k + 5kK = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1K + 20k + 5kK = 0 + 4 -1K + 20k + 5kK = 0 + 4 Combine like terms: 0 + 4 = 4 -1K + 20k + 5kK = 4 Add '-20k' to each side of the equation. -1K + 20k + -20k + 5kK = 4 + -20k Combine like terms: 20k + -20k = 0 -1K + 0 + 5kK = 4 + -20k -1K + 5kK = 4 + -20k Reorder the terms: -4 + -1K + 20k + 5kK = 4 + -20k + -4 + 20k Reorder the terms: -4 + -1K + 20k + 5kK = 4 + -4 + -20k + 20k Combine like terms: 4 + -4 = 0 -4 + -1K + 20k + 5kK = 0 + -20k + 20k -4 + -1K + 20k + 5kK = -20k + 20k Combine like terms: -20k + 20k = 0 -4 + -1K + 20k + 5kK = 0 The solution to this equation could not be determined.
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