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-9+45c=-\left(-9c+9\right)
Use the distributive property to multiply -9 by 1-5c.
-9+45c=-\left(-9c\right)-9
To find the opposite of -9c+9, find the opposite of each term.
-9+45c=9c-9
The opposite of -9c is 9c.
-9+45c-9c=-9
Subtract 9c from both sides.
-9+36c=-9
Combine 45c and -9c to get 36c.
36c=-9+9
Add 9 to both sides.
36c=0
Add -9 and 9 to get 0.
c=0
Product of two numbers is equal to 0 if at least one of them is 0. Since 36 is not equal to 0, c must be equal to 0.