ax+by+cz=dforz

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Solution for ax+by+cz=dforz equation:


Simplifying
ax + by + cz = dforz

Solving
ax + by + cz = dforz

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 = -1by + dforz

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

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

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

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

Simplifying
a = -1bx-1y + -1cx-1z + dforx-1z

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