Am-an-bn+bm=

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Solution for Am-an-bn+bm= equation:


Simplifying
Am + -1an + -1bn + bm = 0

Reorder the terms:
-1an + bm + -1bn + mA = 0

Solving
-1an + bm + -1bn + mA = 0

Solving for variable 'a'.

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

Add '-1bm' to each side of the equation.
-1an + bm + -1bn + -1bm + mA = 0 + -1bm

Reorder the terms:
-1an + bm + -1bm + -1bn + mA = 0 + -1bm

Combine like terms: bm + -1bm = 0
-1an + 0 + -1bn + mA = 0 + -1bm
-1an + -1bn + mA = 0 + -1bm
Remove the zero:
-1an + -1bn + mA = -1bm

Add 'bn' to each side of the equation.
-1an + -1bn + bn + mA = -1bm + bn

Combine like terms: -1bn + bn = 0
-1an + 0 + mA = -1bm + bn
-1an + mA = -1bm + bn

Add '-1mA' to each side of the equation.
-1an + mA + -1mA = -1bm + bn + -1mA

Combine like terms: mA + -1mA = 0
-1an + 0 = -1bm + bn + -1mA
-1an = -1bm + bn + -1mA

Divide each side by '-1n'.
a = bmn-1 + -1b + mn-1A

Simplifying
a = bmn-1 + -1b + mn-1A

Reorder the terms:
a = -1b + bmn-1 + mn-1A

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