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Simplifying (K + 4)(4k + -5) = 0 Reorder the terms: (4 + K)(4k + -5) = 0 Reorder the terms: (4 + K)(-5 + 4k) = 0 Multiply (4 + K) * (-5 + 4k) (4(-5 + 4k) + K(-5 + 4k)) = 0 ((-5 * 4 + 4k * 4) + K(-5 + 4k)) = 0 ((-20 + 16k) + K(-5 + 4k)) = 0 (-20 + 16k + (-5 * K + 4k * K)) = 0 (-20 + 16k + (-5K + 4kK)) = 0 Reorder the terms: (-20 + -5K + 16k + 4kK) = 0 (-20 + -5K + 16k + 4kK) = 0 Solving -20 + -5K + 16k + 4kK = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -5K + 16k + 20 + 4kK = 0 + 20 Reorder the terms: -20 + 20 + -5K + 16k + 4kK = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -5K + 16k + 4kK = 0 + 20 -5K + 16k + 4kK = 0 + 20 Combine like terms: 0 + 20 = 20 -5K + 16k + 4kK = 20 Add '-16k' to each side of the equation. -5K + 16k + -16k + 4kK = 20 + -16k Combine like terms: 16k + -16k = 0 -5K + 0 + 4kK = 20 + -16k -5K + 4kK = 20 + -16k Reorder the terms: -20 + -5K + 16k + 4kK = 20 + -16k + -20 + 16k Reorder the terms: -20 + -5K + 16k + 4kK = 20 + -20 + -16k + 16k Combine like terms: 20 + -20 = 0 -20 + -5K + 16k + 4kK = 0 + -16k + 16k -20 + -5K + 16k + 4kK = -16k + 16k Combine like terms: -16k + 16k = 0 -20 + -5K + 16k + 4kK = 0 The solution to this equation could not be determined.
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