27=3c -3 (6-2c)

Question

What are the steps and the answer?

Answer 1

27 = 3c - 3(6 - 2c)

 

We want to solve for c.  First, multiply 3 across the terms within the parentheses:

 

27 = 3c - 3*6 + 3*2c

27 = 3c - 18 + 6c

 

Second, combine like terms:

 

27 = -18 + 3c + 6c

27 = -18 + 9c

 

Third, add 18 to both sides:

 

27 + 18 = 18 - 18 + 9c

45 = 9c

 

Fourth, divide both sides by 9:

 

45/9 = 9c/9

5 = c

 

Lastly, check your answer:

 

27 = 3c - 3(6-2c)

27 = 3*5 - 3(6 - 2*5)

27 = 15 - 3(-4)

27 = 15 + 12

27 = 27

 

CHECK!!