59-(c+4)=4(c+5)+c

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Solution for 59-(c+4)=4(c+5)+c equation: 


Simplifying
59 + -1(c + 4) = 4(c + 5) + c

Reorder the terms:
59 + -1(4 + c) = 4(c + 5) + c
59 + (4 * -1 + c * -1) = 4(c + 5) + c
59 + (-4 + -1c) = 4(c + 5) + c

Combine like terms: 59 + -4 = 55
55 + -1c = 4(c + 5) + c

Reorder the terms:
55 + -1c = 4(5 + c) + c
55 + -1c = (5 * 4 + c * 4) + c
55 + -1c = (20 + 4c) + c

Combine like terms: 4c + c = 5c
55 + -1c = 20 + 5c

Solving
55 + -1c = 20 + 5c

Solving for variable 'c'.

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

Add '-5c' to each side of the equation.
55 + -1c + -5c = 20 + 5c + -5c

Combine like terms: -1c + -5c = -6c
55 + -6c = 20 + 5c + -5c

Combine like terms: 5c + -5c = 0
55 + -6c = 20 + 0
55 + -6c = 20

Add '-55' to each side of the equation.
55 + -55 + -6c = 20 + -55

Combine like terms: 55 + -55 = 0
0 + -6c = 20 + -55
-6c = 20 + -55

Combine like terms: 20 + -55 = -35
-6c = -35

Divide each side by '-6'.
c = 5.833333333

Simplifying
c = 5.833333333

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