Ax+By+C=D

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Solution for Ax+By+C=D equation: 


Simplifying
Ax + By + C = D

Reorder the terms:
C + xA + yB = D

Solving
C + xA + yB = D

Solving for variable 'C'.

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

Add '-1xA' to each side of the equation.
C + xA + -1xA + yB = D + -1xA

Combine like terms: xA + -1xA = 0
C + 0 + yB = D + -1xA
C + yB = D + -1xA

Add '-1yB' to each side of the equation.
C + yB + -1yB = D + -1xA + -1yB

Combine like terms: yB + -1yB = 0
C + 0 = D + -1xA + -1yB
C = D + -1xA + -1yB

Simplifying
C = D + -1xA + -1yB

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