Find all values of c such that 3*(2c + 1) = 28*(3*c) - 9. If you find more than one value of c, then list your values in increasing order, separated by commas.
+163 we start with 3(2c+1) = 28(3*c) - 9
(just to note 3*c = 3c)
we expand the equation by multiplying the numbers left unmultiplied
3(2c+1) = 6c+3
28(3c) - 9 = 84c-9
we move the 6c+3 to the other side of the equation by subtracting 6c+3 from both sides
84c-9 - 6c - 3 = 0
78c - 12 = 0
isolate the variable by adding 12 to both sides
78c = 12
then divide both sides by 78
c = 12/78
simplify
c = 12/78 = 2/13
c = 2/13
I hope this explanation helped you :)
