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Verified Answer :

remember you can do anything to an equation as long as you do it to both sides

5c+16.5=13.5+10c
minus 5c both sides
16.5=13.5+5c
minus 13.5 from both sides
3=5c
divide both sides by 5
3/5=c

 5c + 16.5 = 13.5 + 10c

 
16.5 + 5c = 13.5 + 10c


 16.5 + 5c = 13.5 + 10c
 
16.5 + 5c + -10c = 13.5 + 10c + -10c

 
 5c + -10c = -5c
16.5 + -5c = 13.5 + 10c + -10c


10c + -10c = 0
16.5 + -5c = 13.5 + 0
16.5 + -5c = 13.5

 
 16.5 + -16.5 + -5c = 13.5 + -16.5


:16.5 + -16.5 = 0.0
0.0 + -5c = 13.5 + -16.5
-5c = 13.5 + -16.5

 
13.5 + -16.5 = -3
-5c = -3

 
Divide each side by '-5'.
 
c = 0.6

or 3/5