41-(2c-3)=4(c+6)+c

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Solution for 41-(2c-3)=4(c+6)+c equation: 


Simplifying
41 + -1(2c + -3) = 4(c + 6) + c

Reorder the terms:
41 + -1(-3 + 2c) = 4(c + 6) + c
41 + (-3 * -1 + 2c * -1) = 4(c + 6) + c
41 + (3 + -2c) = 4(c + 6) + c

Combine like terms: 41 + 3 = 44
44 + -2c = 4(c + 6) + c

Reorder the terms:
44 + -2c = 4(6 + c) + c
44 + -2c = (6 * 4 + c * 4) + c
44 + -2c = (24 + 4c) + c

Combine like terms: 4c + c = 5c
44 + -2c = 24 + 5c

Solving
44 + -2c = 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.
44 + -2c + -5c = 24 + 5c + -5c

Combine like terms: -2c + -5c = -7c
44 + -7c = 24 + 5c + -5c

Combine like terms: 5c + -5c = 0
44 + -7c = 24 + 0
44 + -7c = 24

Add '-44' to each side of the equation.
44 + -44 + -7c = 24 + -44

Combine like terms: 44 + -44 = 0
0 + -7c = 24 + -44
-7c = 24 + -44

Combine like terms: 24 + -44 = -20
-7c = -20

Divide each side by '-7'.
c = 2.857142857

Simplifying
c = 2.857142857

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