56-2(3c+4)=4(c+7)+c

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Solution for 56-2(3c+4)=4(c+7)+c equation: 


Simplifying
56 + -2(3c + 4) = 4(c + 7) + c

Reorder the terms:
56 + -2(4 + 3c) = 4(c + 7) + c
56 + (4 * -2 + 3c * -2) = 4(c + 7) + c
56 + (-8 + -6c) = 4(c + 7) + c

Combine like terms: 56 + -8 = 48
48 + -6c = 4(c + 7) + c

Reorder the terms:
48 + -6c = 4(7 + c) + c
48 + -6c = (7 * 4 + c * 4) + c
48 + -6c = (28 + 4c) + c

Combine like terms: 4c + c = 5c
48 + -6c = 28 + 5c

Solving
48 + -6c = 28 + 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.
48 + -6c + -5c = 28 + 5c + -5c

Combine like terms: -6c + -5c = -11c
48 + -11c = 28 + 5c + -5c

Combine like terms: 5c + -5c = 0
48 + -11c = 28 + 0
48 + -11c = 28

Add '-48' to each side of the equation.
48 + -48 + -11c = 28 + -48

Combine like terms: 48 + -48 = 0
0 + -11c = 28 + -48
-11c = 28 + -48

Combine like terms: 28 + -48 = -20
-11c = -20

Divide each side by '-11'.
c = 1.818181818

Simplifying
c = 1.818181818

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