A+ax=b+r

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Solution for A+ax=b+r equation: 


Simplifying
A + ax = b + r

Solving
A + ax = b + r

Solving for variable 'A'.

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

Add '-1ax' to each side of the equation.
A + ax + -1ax = b + -1ax + r

Combine like terms: ax + -1ax = 0
A + 0 = b + -1ax + r
A = b + -1ax + r

Reorder the terms:
A = -1ax + b + r

Simplifying
A = -1ax + b + r

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