48-(3c+4)=2(c+7)+c

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Solution for 48-(3c+4)=2(c+7)+c equation: 


Simplifying
48 + -1(3c + 4) = 2(c + 7) + c

Reorder the terms:
48 + -1(4 + 3c) = 2(c + 7) + c
48 + (4 * -1 + 3c * -1) = 2(c + 7) + c
48 + (-4 + -3c) = 2(c + 7) + c

Combine like terms: 48 + -4 = 44
44 + -3c = 2(c + 7) + c

Reorder the terms:
44 + -3c = 2(7 + c) + c
44 + -3c = (7 * 2 + c * 2) + c
44 + -3c = (14 + 2c) + c

Combine like terms: 2c + c = 3c
44 + -3c = 14 + 3c

Solving
44 + -3c = 14 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.
44 + -3c + -3c = 14 + 3c + -3c

Combine like terms: -3c + -3c = -6c
44 + -6c = 14 + 3c + -3c

Combine like terms: 3c + -3c = 0
44 + -6c = 14 + 0
44 + -6c = 14

Add '-44' to each side of the equation.
44 + -44 + -6c = 14 + -44

Combine like terms: 44 + -44 = 0
0 + -6c = 14 + -44
-6c = 14 + -44

Combine like terms: 14 + -44 = -30
-6c = -30

Divide each side by '-6'.
c = 5

Simplifying
c = 5

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