(A+b)-c=a+(b-c)

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Solution for (A+b)-c=a+(b-c) equation: 


Simplifying
(A + b) + -1c = a + (b + -1c)

Remove parenthesis around (A + b)
A + b + -1c = a + (b + -1c)

Remove parenthesis around (b + -1c)
A + b + -1c = a + b + -1c

Add '-1b' to each side of the equation.
A + b + -1b + -1c = a + b + -1b + -1c

Combine like terms: b + -1b = 0
A + 0 + -1c = a + b + -1b + -1c
A + -1c = a + b + -1b + -1c

Combine like terms: b + -1b = 0
A + -1c = a + 0 + -1c
A + -1c = a + -1c

Add 'c' to each side of the equation.
A + -1c + c = a + -1c + c

Combine like terms: -1c + c = 0
A + 0 = a + -1c + c
A = a + -1c + c

Combine like terms: -1c + c = 0
A = a + 0
A = a

Solving
A = a

Solving for variable 'A'.

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

Simplifying
A = a

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