3x+y+cz=1

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Solution for 3x+y+cz=1 equation: 


Simplifying
3x + y + cz = 1

Reorder the terms:
cz + 3x + y = 1

Solving
cz + 3x + y = 1

Solving for variable 'c'.

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

Add '-3x' to each side of the equation.
cz + 3x + -3x + y = 1 + -3x

Combine like terms: 3x + -3x = 0
cz + 0 + y = 1 + -3x
cz + y = 1 + -3x

Add '-1y' to each side of the equation.
cz + y + -1y = 1 + -3x + -1y

Combine like terms: y + -1y = 0
cz + 0 = 1 + -3x + -1y
cz = 1 + -3x + -1y

Divide each side by 'z'.
c = z-1 + -3xz-1 + -1yz-1

Simplifying
c = z-1 + -3xz-1 + -1yz-1

Reorder the terms:
c = -3xz-1 + -1yz-1 + z-1

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