(5-3c)-(-4C+6)=(8C+11)-(3C-6)

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Solution for (5-3c)-(-4C+6)=(8C+11)-(3C-6) equation: 


Simplifying
(5 + -3c) + -1(-4C + 6) = (8C + 11) + -1(3C + -6)

Remove parenthesis around (5 + -3c)
5 + -3c + -1(-4C + 6) = (8C + 11) + -1(3C + -6)

Reorder the terms:
5 + -3c + -1(6 + -4C) = (8C + 11) + -1(3C + -6)
5 + -3c + (6 * -1 + -4C * -1) = (8C + 11) + -1(3C + -6)
5 + -3c + (-6 + 4C) = (8C + 11) + -1(3C + -6)

Reorder the terms:
5 + -6 + 4C + -3c = (8C + 11) + -1(3C + -6)

Combine like terms: 5 + -6 = -1
-1 + 4C + -3c = (8C + 11) + -1(3C + -6)

Reorder the terms:
-1 + 4C + -3c = (11 + 8C) + -1(3C + -6)

Remove parenthesis around (11 + 8C)
-1 + 4C + -3c = 11 + 8C + -1(3C + -6)

Reorder the terms:
-1 + 4C + -3c = 11 + 8C + -1(-6 + 3C)
-1 + 4C + -3c = 11 + 8C + (-6 * -1 + 3C * -1)
-1 + 4C + -3c = 11 + 8C + (6 + -3C)

Reorder the terms:
-1 + 4C + -3c = 11 + 6 + 8C + -3C

Combine like terms: 11 + 6 = 17
-1 + 4C + -3c = 17 + 8C + -3C

Combine like terms: 8C + -3C = 5C
-1 + 4C + -3c = 17 + 5C

Solving
-1 + 4C + -3c = 17 + 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.
-1 + 4C + -5C + -3c = 17 + 5C + -5C

Combine like terms: 4C + -5C = -1C
-1 + -1C + -3c = 17 + 5C + -5C

Combine like terms: 5C + -5C = 0
-1 + -1C + -3c = 17 + 0
-1 + -1C + -3c = 17

Add '1' to each side of the equation.
-1 + -1C + 1 + -3c = 17 + 1

Reorder the terms:
-1 + 1 + -1C + -3c = 17 + 1

Combine like terms: -1 + 1 = 0
0 + -1C + -3c = 17 + 1
-1C + -3c = 17 + 1

Combine like terms: 17 + 1 = 18
-1C + -3c = 18

Add '3c' to each side of the equation.
-1C + -3c + 3c = 18 + 3c

Combine like terms: -3c + 3c = 0
-1C + 0 = 18 + 3c
-1C = 18 + 3c

Divide each side by '-1'.
C = -18 + -3c

Simplifying
C = -18 + -3c

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