a+(b+12)=(b+12)a

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Solution for a+(b+12)=(b+12)a equation: 


Simplifying
a + (b + 12) = (b + 12) * a

Reorder the terms:
a + (12 + b) = (b + 12) * a

Remove parenthesis around (12 + b)
a + 12 + b = (b + 12) * a

Reorder the terms:
12 + a + b = (b + 12) * a

Reorder the terms:
12 + a + b = (12 + b) * a

Reorder the terms for easier multiplication:
12 + a + b = a(12 + b)
12 + a + b = (12 * a + b * a)
12 + a + b = (12a + ab)

Solving
12 + a + b = 12a + ab

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
12 + a + -12a + b = 12a + -12a + ab

Combine like terms: a + -12a = -11a
12 + -11a + b = 12a + -12a + ab

Combine like terms: 12a + -12a = 0
12 + -11a + b = 0 + ab
12 + -11a + b = ab

Add '-1ab' to each side of the equation.
12 + -11a + -1ab + b = ab + -1ab

Combine like terms: ab + -1ab = 0
12 + -11a + -1ab + b = 0

Add '-12' to each side of the equation.
12 + -11a + -1ab + -12 + b = 0 + -12

Reorder the terms:
12 + -12 + -11a + -1ab + b = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -11a + -1ab + b = 0 + -12
-11a + -1ab + b = 0 + -12

Combine like terms: 0 + -12 = -12
-11a + -1ab + b = -12

Add '-1b' to each side of the equation.
-11a + -1ab + b + -1b = -12 + -1b

Combine like terms: b + -1b = 0
-11a + -1ab + 0 = -12 + -1b
-11a + -1ab = -12 + -1b

Reorder the terms:
12 + -11a + -1ab + b = -12 + -1b + 12 + b

Reorder the terms:
12 + -11a + -1ab + b = -12 + 12 + -1b + b

Combine like terms: -12 + 12 = 0
12 + -11a + -1ab + b = 0 + -1b + b
12 + -11a + -1ab + b = -1b + b

Combine like terms: -1b + b = 0
12 + -11a + -1ab + b = 0

The solution to this equation could not be determined.

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