(3c-13)+(3c-12)+(5c-45)+(c-3)+(5c-50)=540

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Solution for (3c-13)+(3c-12)+(5c-45)+(c-3)+(5c-50)=540 equation: 


Simplifying
(3c + -13) + (3c + -12) + (5c + -45) + (c + -3) + (5c + -50) = 540

Reorder the terms:
(-13 + 3c) + (3c + -12) + (5c + -45) + (c + -3) + (5c + -50) = 540

Remove parenthesis around (-13 + 3c)
-13 + 3c + (3c + -12) + (5c + -45) + (c + -3) + (5c + -50) = 540

Reorder the terms:
-13 + 3c + (-12 + 3c) + (5c + -45) + (c + -3) + (5c + -50) = 540

Remove parenthesis around (-12 + 3c)
-13 + 3c + -12 + 3c + (5c + -45) + (c + -3) + (5c + -50) = 540

Reorder the terms:
-13 + 3c + -12 + 3c + (-45 + 5c) + (c + -3) + (5c + -50) = 540

Remove parenthesis around (-45 + 5c)
-13 + 3c + -12 + 3c + -45 + 5c + (c + -3) + (5c + -50) = 540

Reorder the terms:
-13 + 3c + -12 + 3c + -45 + 5c + (-3 + c) + (5c + -50) = 540

Remove parenthesis around (-3 + c)
-13 + 3c + -12 + 3c + -45 + 5c + -3 + c + (5c + -50) = 540

Reorder the terms:
-13 + 3c + -12 + 3c + -45 + 5c + -3 + c + (-50 + 5c) = 540

Remove parenthesis around (-50 + 5c)
-13 + 3c + -12 + 3c + -45 + 5c + -3 + c + -50 + 5c = 540

Reorder the terms:
-13 + -12 + -45 + -3 + -50 + 3c + 3c + 5c + c + 5c = 540

Combine like terms: -13 + -12 = -25
-25 + -45 + -3 + -50 + 3c + 3c + 5c + c + 5c = 540

Combine like terms: -25 + -45 = -70
-70 + -3 + -50 + 3c + 3c + 5c + c + 5c = 540

Combine like terms: -70 + -3 = -73
-73 + -50 + 3c + 3c + 5c + c + 5c = 540

Combine like terms: -73 + -50 = -123
-123 + 3c + 3c + 5c + c + 5c = 540

Combine like terms: 3c + 3c = 6c
-123 + 6c + 5c + c + 5c = 540

Combine like terms: 6c + 5c = 11c
-123 + 11c + c + 5c = 540

Combine like terms: 11c + c = 12c
-123 + 12c + 5c = 540

Combine like terms: 12c + 5c = 17c
-123 + 17c = 540

Solving
-123 + 17c = 540

Solving for variable 'c'.

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

Add '123' to each side of the equation.
-123 + 123 + 17c = 540 + 123

Combine like terms: -123 + 123 = 0
0 + 17c = 540 + 123
17c = 540 + 123

Combine like terms: 540 + 123 = 663
17c = 663

Divide each side by '17'.
c = 39

Simplifying
c = 39

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