44(3c+4)=4(c+6)+c

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Solution for 44(3c+4)=4(c+6)+c equation: 


Simplifying
44(3c + 4) = 4(c + 6) + c

Reorder the terms:
44(4 + 3c) = 4(c + 6) + c
(4 * 44 + 3c * 44) = 4(c + 6) + c
(176 + 132c) = 4(c + 6) + c

Reorder the terms:
176 + 132c = 4(6 + c) + c
176 + 132c = (6 * 4 + c * 4) + c
176 + 132c = (24 + 4c) + c

Combine like terms: 4c + c = 5c
176 + 132c = 24 + 5c

Solving
176 + 132c = 24 + 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.
176 + 132c + -5c = 24 + 5c + -5c

Combine like terms: 132c + -5c = 127c
176 + 127c = 24 + 5c + -5c

Combine like terms: 5c + -5c = 0
176 + 127c = 24 + 0
176 + 127c = 24

Add '-176' to each side of the equation.
176 + -176 + 127c = 24 + -176

Combine like terms: 176 + -176 = 0
0 + 127c = 24 + -176
127c = 24 + -176

Combine like terms: 24 + -176 = -152
127c = -152

Divide each side by '127'.
c = -1.196850394

Simplifying
c = -1.196850394

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