ax+by=dz

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Solution for ax+by=dz equation: 


Simplifying
ax + by = dz

Solving
ax + by = dz

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 = -1by + dz

Combine like terms: by + -1by = 0
ax + 0 = -1by + dz
ax = -1by + dz

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

Simplifying
a = -1bx-1y + dx-1z

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