w-6/7w-1/7=2/7(w-2/5) what is w?

w-6/7w-1/7=2/7(w-2/5) what is w?
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2 Answers

Multiply through by 7: 7w-6w-1=2(w-2/5)=2w-4/5. 

Collecting the w's together on the right and numbers on the left: -1+4/5=2w+6w-7w; -1/5=w or w=-1/5.

Check: substitute w=-1/5 in the original equation: -1/5+6/35-1/7=2/7(-1/5-2/5); (-7+6-5)/35=2/7(-3/5); -6/35=-6/35, so equation checks out.

by Top Rated User (1.2m points)

Given w-6/7w-1/7=2/7(w-2/5)
(w-1)/7=2/35(5w-2)
-w/7-1/35=0
-w/7=1/35
w=-1/5

Algebra Solver
 

by Level 8 User (30.1k points)

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