44-(2c+3)=4(c+5)+c

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Solution for 44-(2c+3)=4(c+5)+c equation:


Simplifying
44 + -1(2c + 3) = 4(c + 5) + c

Reorder the terms:
44 + -1(3 + 2c) = 4(c + 5) + c
44 + (3 * -1 + 2c * -1) = 4(c + 5) + c
44 + (-3 + -2c) = 4(c + 5) + c

Combine like terms: 44 + -3 = 41
41 + -2c = 4(c + 5) + c

Reorder the terms:
41 + -2c = 4(5 + c) + c
41 + -2c = (5 * 4 + c * 4) + c
41 + -2c = (20 + 4c) + c

Combine like terms: 4c + c = 5c
41 + -2c = 20 + 5c

Solving
41 + -2c = 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.
41 + -2c + -5c = 20 + 5c + -5c

Combine like terms: -2c + -5c = -7c
41 + -7c = 20 + 5c + -5c

Combine like terms: 5c + -5c = 0
41 + -7c = 20 + 0
41 + -7c = 20

Add '-41' to each side of the equation.
41 + -41 + -7c = 20 + -41

Combine like terms: 41 + -41 = 0
0 + -7c = 20 + -41
-7c = 20 + -41

Combine like terms: 20 + -41 = -21
-7c = -21

Divide each side by '-7'.
c = 3

Simplifying
c = 3

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