Ax+b=CA-d

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Solution for Ax+b=CA-d equation: 


Simplifying
Ax + b = CA + -1d

Reorder the terms:
b + xA = CA + -1d

Solving
b + xA = AC + -1d

Solving for variable 'b'.

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

Add '-1xA' to each side of the equation.
b + xA + -1xA = AC + -1d + -1xA

Combine like terms: xA + -1xA = 0
b + 0 = AC + -1d + -1xA
b = AC + -1d + -1xA

Simplifying
b = AC + -1d + -1xA

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