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

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

Simplifying
44 + -1(3c + 4) = 4(c + 6) + c

Reorder the terms:
44 + -1(4 + 3c) = 4(c + 6) + c
44 + (4 * -1 + 3c * -1) = 4(c + 6) + c
44 + (-4 + -3c) = 4(c + 6) + c

Combine like terms: 44 + -4 = 40
40 + -3c = 4(c + 6) + c

Reorder the terms:
40 + -3c = 4(6 + c) + c
40 + -3c = (6 * 4 + c * 4) + c
40 + -3c = (24 + 4c) + c

Combine like terms: 4c + c = 5c
40 + -3c = 24 + 5c

Solving
40 + -3c = 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.
40 + -3c + -5c = 24 + 5c + -5c

Combine like terms: -3c + -5c = -8c
40 + -8c = 24 + 5c + -5c

Combine like terms: 5c + -5c = 0
40 + -8c = 24 + 0
40 + -8c = 24

Add '-40' to each side of the equation.
40 + -40 + -8c = 24 + -40

Combine like terms: 40 + -40 = 0
0 + -8c = 24 + -40
-8c = 24 + -40

Combine like terms: 24 + -40 = -16
-8c = -16

Divide each side by '-8'.
c = 2

Simplifying
c = 2