11(3-2c)=3(9-7c)+c

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Solution for 11(3-2c)=3(9-7c)+c equation: 


Simplifying
11(3 + -2c) = 3(9 + -7c) + c
(3 * 11 + -2c * 11) = 3(9 + -7c) + c
(33 + -22c) = 3(9 + -7c) + c
33 + -22c = (9 * 3 + -7c * 3) + c
33 + -22c = (27 + -21c) + c

Combine like terms: -21c + c = -20c
33 + -22c = 27 + -20c

Solving
33 + -22c = 27 + -20c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '20c' to each side of the equation.
33 + -22c + 20c = 27 + -20c + 20c

Combine like terms: -22c + 20c = -2c
33 + -2c = 27 + -20c + 20c

Combine like terms: -20c + 20c = 0
33 + -2c = 27 + 0
33 + -2c = 27

Add '-33' to each side of the equation.
33 + -33 + -2c = 27 + -33

Combine like terms: 33 + -33 = 0
0 + -2c = 27 + -33
-2c = 27 + -33

Combine like terms: 27 + -33 = -6
-2c = -6

Divide each side by '-2'.
c = 3

Simplifying
c = 3

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