SOLUTION: -6/7k+3/4=1-5/2k

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Question 257705: -6/7k+3/4=1-5/2k
Answer by checkley77(12844) About Me  (Show Source):
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-6/7k+3/4=1-5/2k
-6k/7+5k/2=1-3/4
(-6k*2+5k*7)/7*2=1/4
(-12k+35k)/14=1/4
23k/14=1/4 cross multiply.
4*23k=1*14
92k=14
k=14/92
k=7/46 ans.
Proof:
-6/7*7/46+3/4=1-5/2*7/46
-6/46+3/4=1-35/92
(-6*4+3*46)/46*4=92/92-35/92
(-24+138)/184=57/92
114/184=57/92
57/92=57/92