SOLUTION: Simplify {{{((-12+2w)/5)/((49w-294)/25)}}}

Question 125840: Simplify

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Multiply the first fraction by the reciprocal of the second fraction

Factor to get and rearrange the inner terms to get

Factor to get

Factor to get

Combine the fractions

Cancel like terms

Simplify

Multiply

So simplifies to

In other words,
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