5c-4(c-9)=2+2c

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Solution for 5c-4(c-9)=2+2c equation: 


Simplifying
5c + -4(c + -9) = 2 + 2c

Reorder the terms:
5c + -4(-9 + c) = 2 + 2c
5c + (-9 * -4 + c * -4) = 2 + 2c
5c + (36 + -4c) = 2 + 2c

Reorder the terms:
36 + 5c + -4c = 2 + 2c

Combine like terms: 5c + -4c = 1c
36 + 1c = 2 + 2c

Solving
36 + 1c = 2 + 2c

Solving for variable 'c'.

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

Add '-2c' to each side of the equation.
36 + 1c + -2c = 2 + 2c + -2c

Combine like terms: 1c + -2c = -1c
36 + -1c = 2 + 2c + -2c

Combine like terms: 2c + -2c = 0
36 + -1c = 2 + 0
36 + -1c = 2

Add '-36' to each side of the equation.
36 + -36 + -1c = 2 + -36

Combine like terms: 36 + -36 = 0
0 + -1c = 2 + -36
-1c = 2 + -36

Combine like terms: 2 + -36 = -34
-1c = -34

Divide each side by '-1'.
c = 34

Simplifying
c = 34

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