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100k+50=12k
Use the distributive property to multiply 25 by 4k+2.
100k+50-12k=0
Subtract 12k from both sides.
88k+50=0
Combine 100k and -12k to get 88k.
88k=-50
Subtract 50 from both sides. Anything subtracted from zero gives its negation.
k=\frac{-50}{88}
Divide both sides by 88.
k=-\frac{25}{44}
Reduce the fraction \frac{-50}{88} to lowest terms by extracting and canceling out 2.