59-(2c+3)=(4c+7)+c

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Solution for 59-(2c+3)=(4c+7)+c equation: 


Simplifying
59 + -1(2c + 3) = (4c + 7) + c

Reorder the terms:
59 + -1(3 + 2c) = (4c + 7) + c
59 + (3 * -1 + 2c * -1) = (4c + 7) + c
59 + (-3 + -2c) = (4c + 7) + c

Combine like terms: 59 + -3 = 56
56 + -2c = (4c + 7) + c

Reorder the terms:
56 + -2c = (7 + 4c) + c

Remove parenthesis around (7 + 4c)
56 + -2c = 7 + 4c + c

Combine like terms: 4c + c = 5c
56 + -2c = 7 + 5c

Solving
56 + -2c = 7 + 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.
56 + -2c + -5c = 7 + 5c + -5c

Combine like terms: -2c + -5c = -7c
56 + -7c = 7 + 5c + -5c

Combine like terms: 5c + -5c = 0
56 + -7c = 7 + 0
56 + -7c = 7

Add '-56' to each side of the equation.
56 + -56 + -7c = 7 + -56

Combine like terms: 56 + -56 = 0
0 + -7c = 7 + -56
-7c = 7 + -56

Combine like terms: 7 + -56 = -49
-7c = -49

Divide each side by '-7'.
c = 7

Simplifying
c = 7

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