x+y+z=1+x+y+z-2c+c-c+c-c+c-c+c

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Solution for x+y+z=1+x+y+z-2c+c-c+c-c+c-c+c equation: 


Simplifying
x + y + z = 1 + x + y + z + -2c + c + -1c + c + -1c + c + -1c + c

Reorder the terms:
x + y + z = 1 + -2c + c + -1c + c + -1c + c + -1c + c + x + y + z

Combine like terms: -2c + c = -1c
x + y + z = 1 + -1c + -1c + c + -1c + c + -1c + c + x + y + z

Combine like terms: -1c + -1c = -2c
x + y + z = 1 + -2c + c + -1c + c + -1c + c + x + y + z

Combine like terms: -2c + c = -1c
x + y + z = 1 + -1c + -1c + c + -1c + c + x + y + z

Combine like terms: -1c + -1c = -2c
x + y + z = 1 + -2c + c + -1c + c + x + y + z

Combine like terms: -2c + c = -1c
x + y + z = 1 + -1c + -1c + c + x + y + z

Combine like terms: -1c + -1c = -2c
x + y + z = 1 + -2c + c + x + y + z

Combine like terms: -2c + c = -1c
x + y + z = 1 + -1c + x + y + z

Add '-1x' to each side of the equation.
x + y + -1x + z = 1 + -1c + x + y + -1x + z

Reorder the terms:
x + -1x + y + z = 1 + -1c + x + y + -1x + z

Combine like terms: x + -1x = 0
0 + y + z = 1 + -1c + x + y + -1x + z
y + z = 1 + -1c + x + y + -1x + z

Reorder the terms:
y + z = 1 + -1c + x + -1x + y + z

Combine like terms: x + -1x = 0
y + z = 1 + -1c + 0 + y + z
y + z = 1 + -1c + y + z

Add '-1y' to each side of the equation.
y + -1y + z = 1 + -1c + y + -1y + z

Combine like terms: y + -1y = 0
0 + z = 1 + -1c + y + -1y + z
z = 1 + -1c + y + -1y + z

Combine like terms: y + -1y = 0
z = 1 + -1c + 0 + z
z = 1 + -1c + z

Add '-1z' to each side of the equation.
z + -1z = 1 + -1c + z + -1z

Combine like terms: z + -1z = 0
0 = 1 + -1c + z + -1z

Combine like terms: z + -1z = 0
0 = 1 + -1c + 0
0 = 1 + -1c

Solving
0 = 1 + -1c

Solving for variable 'c'.

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

Add 'c' to each side of the equation.
0 + c = 1 + -1c + c
Remove the zero:
c = 1 + -1c + c

Combine like terms: -1c + c = 0
c = 1 + 0
c = 1

Simplifying
c = 1

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