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Find all values of c such that 3(2c + 1) = 28*(3c) - 9 + 45(3c) - 18. If you find more than one value of c, then list your values in increasing order, separated by commas.

 Jun 16, 2024
 #1
avatar+1075 
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First, let's simplfy the equation a bit. Distributing and expanding, we get

\(6c+3=84c-9+{135}c-18\)

 

Isolating c and combining even more like terms, we get

\(-213c=-30\)

 

Now, we simply isolate c, and we get

\(\frac{-213c}{-213}=\frac{-30}{-213}\)

\(c=\frac{10}{71}\)

 

So our final answer is 10/71. 

 

Thanks! :)

 Jun 16, 2024

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