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6(8+c)+9(5-2c)=15
We simplify the equation to the form, which is simple to understand
6(8+c)+9(5-2c)=15
Reorder the terms in parentheses
+(+48+6c)+9*(5-2c)=15
Remove unnecessary parentheses
+48+6c+9+*(+5-2c+)=+15
Reorder the terms in parentheses
+48+6c+(+45-18c)=15
Remove unnecessary parentheses
+48+6c+45-18c=+15
We move all terms containing c to the left and all other terms to the right.
+6c-18c=+15-48-45
We simplify left and right side of the equation.
-12c=-78
We divide both sides of the equation by -12 to get c.
c=6.5
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