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

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


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

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

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

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

Remove parenthesis around (6 + c)
40 + -3c = 6 + c + c

Combine like terms: c + c = 2c
40 + -3c = 6 + 2c

Solving
40 + -3c = 6 + 2c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-2c' to each side of the equation.
40 + -3c + -2c = 6 + 2c + -2c

Combine like terms: -3c + -2c = -5c
40 + -5c = 6 + 2c + -2c

Combine like terms: 2c + -2c = 0
40 + -5c = 6 + 0
40 + -5c = 6

Add '-40' to each side of the equation.
40 + -40 + -5c = 6 + -40

Combine like terms: 40 + -40 = 0
0 + -5c = 6 + -40
-5c = 6 + -40

Combine like terms: 6 + -40 = -34
-5c = -34

Divide each side by '-5'.
c = 6.8

Simplifying
c = 6.8

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