at+b=ar-c

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Solution for at+b=ar-c equation:


Simplifying
at + b = ar + -1c

Solving
at + b = ar + -1c

Solving for variable 'a'.

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

Add '-1ar' to each side of the equation.
at + -1ar + b = ar + -1ar + -1c

Reorder the terms:
-1ar + at + b = ar + -1ar + -1c

Combine like terms: ar + -1ar = 0
-1ar + at + b = 0 + -1c
-1ar + at + b = -1c

Add '-1b' to each side of the equation.
-1ar + at + b + -1b = -1b + -1c

Combine like terms: b + -1b = 0
-1ar + at + 0 = -1b + -1c
-1ar + at = -1b + -1c

Reorder the terms:
-1ar + at + b + c = -1b + b + -1c + c

Combine like terms: -1b + b = 0
-1ar + at + b + c = 0 + -1c + c
-1ar + at + b + c = -1c + c

Combine like terms: -1c + c = 0
-1ar + at + b + c = 0

The solution to this equation could not be determined.

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