13c+40=9c-20+c

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Solution for 13c+40=9c-20+c equation: 


Simplifying
13c + 40 = 9c + -20 + c

Reorder the terms:
40 + 13c = 9c + -20 + c

Reorder the terms:
40 + 13c = -20 + 9c + c

Combine like terms: 9c + c = 10c
40 + 13c = -20 + 10c

Solving
40 + 13c = -20 + 10c

Solving for variable 'c'.

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

Add '-10c' to each side of the equation.
40 + 13c + -10c = -20 + 10c + -10c

Combine like terms: 13c + -10c = 3c
40 + 3c = -20 + 10c + -10c

Combine like terms: 10c + -10c = 0
40 + 3c = -20 + 0
40 + 3c = -20

Add '-40' to each side of the equation.
40 + -40 + 3c = -20 + -40

Combine like terms: 40 + -40 = 0
0 + 3c = -20 + -40
3c = -20 + -40

Combine like terms: -20 + -40 = -60
3c = -60

Divide each side by '3'.
c = -20

Simplifying
c = -20

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