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It will be easiest to understand if you follow along in your own writing. It gets confusing on the computer :)
The first thing I did was write all of the stuff down in a way that I could understand it. I used cross multiplication so that...
6b=5a and 28b=3c
After that, I isolated the variables "a" and "c" so I got...
a=6b/5 and c=28b/3
Next, I put all of it into one equation. I know that I can do this now because there is only one variable: "b" and the equation would look something like this...
Immediately I changed it to multiplication by the reciprocal...
If you multiply straight across, the "b"s cancel and you can multiply the numbers and you're left with...
Which simplifies to...
I hope this helps :)