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Simplifying 10kpq + -1q = 2kp + 3q Solving 10kpq + -1q = 2kp + 3q Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2kp' to each side of the equation. 10kpq + -2kp + -1q = 2kp + -2kp + 3q Reorder the terms: -2kp + 10kpq + -1q = 2kp + -2kp + 3q Combine like terms: 2kp + -2kp = 0 -2kp + 10kpq + -1q = 0 + 3q -2kp + 10kpq + -1q = 3q Add 'q' to each side of the equation. -2kp + 10kpq + -1q + q = 3q + q Combine like terms: -1q + q = 0 -2kp + 10kpq + 0 = 3q + q -2kp + 10kpq = 3q + q Combine like terms: 3q + q = 4q -2kp + 10kpq = 4q Combine like terms: 4q + -4q = 0 -2kp + 10kpq + -4q = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1kp + 5kpq + -2q) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1kp + 5kpq + -2q)' equal to zero and attempt to solve: Simplifying -1kp + 5kpq + -2q = 0 Solving -1kp + 5kpq + -2q = 0 Move all terms containing k to the left, all other terms to the right. Add '2q' to each side of the equation. -1kp + 5kpq + -2q + 2q = 0 + 2q Combine like terms: -2q + 2q = 0 -1kp + 5kpq + 0 = 0 + 2q -1kp + 5kpq = 0 + 2q Remove the zero: -1kp + 5kpq = 2q 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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