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.
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! :)