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Simplifying 224KL + 56KM + -84YL + -21YM = 0 Solving 224KL + 56KM + -84LY + -21MY = 0 Solving for variable 'K'. Move all terms containing K to the left, all other terms to the right. Add '84LY' to each side of the equation. 224KL + 56KM + -84LY + 84LY + -21MY = 0 + 84LY Combine like terms: -84LY + 84LY = 0 224KL + 56KM + 0 + -21MY = 0 + 84LY 224KL + 56KM + -21MY = 0 + 84LY Remove the zero: 224KL + 56KM + -21MY = 84LY Add '21MY' to each side of the equation. 224KL + 56KM + -21MY + 21MY = 84LY + 21MY Combine like terms: -21MY + 21MY = 0 224KL + 56KM + 0 = 84LY + 21MY 224KL + 56KM = 84LY + 21MY Reorder the terms: 224KL + 56KM + -84LY + -21MY = 84LY + -84LY + 21MY + -21MY Combine like terms: 84LY + -84LY = 0 224KL + 56KM + -84LY + -21MY = 0 + 21MY + -21MY 224KL + 56KM + -84LY + -21MY = 21MY + -21MY Combine like terms: 21MY + -21MY = 0 224KL + 56KM + -84LY + -21MY = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(32KL + 8KM + -12LY + -3MY) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(32KL + 8KM + -12LY + -3MY)' equal to zero and attempt to solve: Simplifying 32KL + 8KM + -12LY + -3MY = 0 Solving 32KL + 8KM + -12LY + -3MY = 0 Move all terms containing K to the left, all other terms to the right. Add '12LY' to each side of the equation. 32KL + 8KM + -12LY + 12LY + -3MY = 0 + 12LY Combine like terms: -12LY + 12LY = 0 32KL + 8KM + 0 + -3MY = 0 + 12LY 32KL + 8KM + -3MY = 0 + 12LY Remove the zero: 32KL + 8KM + -3MY = 12LY Add '3MY' to each side of the equation. 32KL + 8KM + -3MY + 3MY = 12LY + 3MY Combine like terms: -3MY + 3MY = 0 32KL + 8KM + 0 = 12LY + 3MY 32KL + 8KM = 12LY + 3MY 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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