-3(c-d)+(c-d)-6(c-d)=

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


Simplifying
-3(c + -1d) + (c + -1d) + -6(c + -1d) = 0
(c * -3 + -1d * -3) + (c + -1d) + -6(c + -1d) = 0
(-3c + 3d) + (c + -1d) + -6(c + -1d) = 0

Remove parenthesis around (c + -1d)
-3c + 3d + c + -1d + -6(c + -1d) = 0
-3c + 3d + c + -1d + (c * -6 + -1d * -6) = 0
-3c + 3d + c + -1d + (-6c + 6d) = 0

Reorder the terms:
-3c + c + -6c + 3d + -1d + 6d = 0

Combine like terms: -3c + c = -2c
-2c + -6c + 3d + -1d + 6d = 0

Combine like terms: -2c + -6c = -8c
-8c + 3d + -1d + 6d = 0

Combine like terms: 3d + -1d = 2d
-8c + 2d + 6d = 0

Combine like terms: 2d + 6d = 8d
-8c + 8d = 0

Solving
-8c + 8d = 0

Solving for variable 'c'.

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

Add '-8d' to each side of the equation.
-8c + 8d + -8d = 0 + -8d

Combine like terms: 8d + -8d = 0
-8c + 0 = 0 + -8d
-8c = 0 + -8d
Remove the zero:
-8c = -8d

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

Simplifying
c = d

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