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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.

 Nov 23, 2024
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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.    

 

3(2c + 1) = 28*(3c) - 9 + 45(3c) - 18    

 

6c + 3  =  84c – 9 + 135c – 18    

 

6c – 84c – 135c  =  – 3 – 9 – 18    

 

213c  =  – 30    

 

         c  =  – 30 / 213  =  30 / 213  reduces to 10 / 71       

.    

 Nov 23, 2024

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