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1/2(6c+4)-2(c+5/2)=2/3(9-3c)
We simplify the equation to the form, which is simple to understand
1/2(6c+4)-2(c+5/2)=2/3(9-3c)
Reorder the terms in parentheses
+(+3c+2)-2*(c+2.5)=0.66666666666667*(9-3c)
Remove unnecessary parentheses
+3c+2-2+*(+c+2.5+)=0.66666666666667+*(+9-3c+)
Reorder the terms in parentheses
+3c+2+(-2c-5)=0.66666666666667*(9-3c)
Remove unnecessary parentheses
+3c+2-2c-5=0.66666666666667+*(+9-3c+)
Reorder the terms in parentheses
+3c+2-2c-5=+(+6-2c)
Remove unnecessary parentheses
+3c+2-2c-5=+6-2c
We move all terms containing c to the left and all other terms to the right.
+3c-2c+2c=+6-2+5
We simplify left and right side of the equation.
+3c=+9
We divide both sides of the equation by 3 to get c.
c=3
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