a*x+b*y+c*z=-6717

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Solution for a*x+b*y+c*z=-6717 equation: 


Simplifying
a * x + b * y + c * z = -6717

Multiply a * x
ax + b * y + c * z = -6717

Multiply b * y
ax + by + c * z = -6717

Multiply c * z
ax + by + cz = -6717

Solving
ax + by + cz = -6717

Solving for variable 'a'.

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

Add '-1by' to each side of the equation.
ax + by + -1by + cz = -6717 + -1by

Combine like terms: by + -1by = 0
ax + 0 + cz = -6717 + -1by
ax + cz = -6717 + -1by

Add '-1cz' to each side of the equation.
ax + cz + -1cz = -6717 + -1by + -1cz

Combine like terms: cz + -1cz = 0
ax + 0 = -6717 + -1by + -1cz
ax = -6717 + -1by + -1cz

Divide each side by 'x'.
a = -6717x-1 + -1bx-1y + -1cx-1z

Simplifying
a = -6717x-1 + -1bx-1y + -1cx-1z

Reorder the terms:
a = -1bx-1y + -1cx-1z + -6717x-1

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