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Simplifying 4K(3k + 5) = 2k Reorder the terms: 4K(5 + 3k) = 2k (5 * 4K + 3k * 4K) = 2k (20K + 12kK) = 2k Solving 20K + 12kK = 2k Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Reorder the terms: 20K + -2k + 12kK = 2k + -2k Combine like terms: 2k + -2k = 0 20K + -2k + 12kK = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10K + -1k + 6kK) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10K + -1k + 6kK)' equal to zero and attempt to solve: Simplifying 10K + -1k + 6kK = 0 Solving 10K + -1k + 6kK = 0 Move all terms containing K to the left, all other terms to the right. Add 'k' to each side of the equation. 10K + -1k + k + 6kK = 0 + k Combine like terms: -1k + k = 0 10K + 0 + 6kK = 0 + k 10K + 6kK = 0 + k Remove the zero: 10K + 6kK = k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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