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

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


Simplifying
(A + -1b) + b + b + (a + -1b) + a + a = 0

Remove parenthesis around (A + -1b)
A + -1b + b + b + (a + -1b) + a + a = 0

Remove parenthesis around (a + -1b)
A + -1b + b + b + a + -1b + a + a = 0

Reorder the terms:
A + a + a + a + -1b + b + b + -1b = 0

Combine like terms: a + a = 2a
A + 2a + a + -1b + b + b + -1b = 0

Combine like terms: 2a + a = 3a
A + 3a + -1b + b + b + -1b = 0

Combine like terms: -1b + b = 0
A + 3a + 0 + b + -1b = 0
A + 3a + b + -1b = 0

Combine like terms: b + -1b = 0
A + 3a + 0 = 0
A + 3a = 0

Solving
A + 3a = 0

Solving for variable 'A'.

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

Add '-3a' to each side of the equation.
A + 3a + -3a = 0 + -3a

Combine like terms: 3a + -3a = 0
A + 0 = 0 + -3a
A = 0 + -3a
Remove the zero:
A = -3a

Simplifying
A = -3a

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