3=(X*(1+Y))+((X+Z)*(1+A))

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Solution for 3=(X*(1+Y))+((X+Z)*(1+A)) equation: 


Simplifying
3 = (X(1 + Y)) + ((X + Z)(1 + A))
3 = ((1 * X + Y * X)) + ((X + Z)(1 + A))
3 = ((1X + XY)) + ((X + Z)(1 + A))
3 = (1X + XY) + ((X + Z)(1 + A))

Remove parenthesis around (1X + XY)
3 = 1X + XY + ((X + Z)(1 + A))

Multiply (X + Z) * (1 + A)
3 = 1X + XY + ((X(1 + A) + Z(1 + A)))
3 = 1X + XY + (((1 * X + A * X) + Z(1 + A)))

Reorder the terms:
3 = 1X + XY + (((AX + 1X) + Z(1 + A)))
3 = 1X + XY + (((AX + 1X) + Z(1 + A)))
3 = 1X + XY + ((AX + 1X + (1 * Z + A * Z)))

Reorder the terms:
3 = 1X + XY + ((AX + 1X + (AZ + 1Z)))
3 = 1X + XY + ((AX + 1X + (AZ + 1Z)))

Reorder the terms:
3 = 1X + XY + ((AX + AZ + 1X + 1Z))
3 = 1X + XY + ((AX + AZ + 1X + 1Z))
3 = 1X + XY + (AX + AZ + 1X + 1Z)

Remove parenthesis around (AX + AZ + 1X + 1Z)
3 = 1X + XY + AX + AZ + 1X + 1Z

Reorder the terms:
3 = AX + AZ + 1X + 1X + XY + 1Z

Combine like terms: 1X + 1X = 2X
3 = AX + AZ + 2X + XY + 1Z

Solving
3 = AX + AZ + 2X + XY + 1Z

Solving for variable 'A'.

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

Add '-1AX' to each side of the equation.
3 + -1AX = AX + AZ + 2X + XY + -1AX + 1Z

Reorder the terms:
3 + -1AX = AX + -1AX + AZ + 2X + XY + 1Z

Combine like terms: AX + -1AX = 0
3 + -1AX = 0 + AZ + 2X + XY + 1Z
3 + -1AX = AZ + 2X + XY + 1Z

Add '-1AZ' to each side of the equation.
3 + -1AX + -1AZ = AZ + 2X + XY + -1AZ + 1Z

Reorder the terms:
3 + -1AX + -1AZ = AZ + -1AZ + 2X + XY + 1Z

Combine like terms: AZ + -1AZ = 0
3 + -1AX + -1AZ = 0 + 2X + XY + 1Z
3 + -1AX + -1AZ = 2X + XY + 1Z

Add '-3' to each side of the equation.
3 + -1AX + -3 + -1AZ = 2X + XY + -3 + 1Z

Reorder the terms:
3 + -3 + -1AX + -1AZ = 2X + XY + -3 + 1Z

Combine like terms: 3 + -3 = 0
0 + -1AX + -1AZ = 2X + XY + -3 + 1Z
-1AX + -1AZ = 2X + XY + -3 + 1Z

Reorder the terms:
-1AX + -1AZ = -3 + 2X + XY + 1Z

Reorder the terms:
3 + -1AX + -1AZ + -2X + -1XY + -1Z = -3 + 2X + XY + 1Z + 3 + -2X + -1XY + -1Z

Reorder the terms:
3 + -1AX + -1AZ + -2X + -1XY + -1Z = -3 + 3 + 2X + -2X + XY + -1XY + 1Z + -1Z

Combine like terms: -3 + 3 = 0
3 + -1AX + -1AZ + -2X + -1XY + -1Z = 0 + 2X + -2X + XY + -1XY + 1Z + -1Z
3 + -1AX + -1AZ + -2X + -1XY + -1Z = 2X + -2X + XY + -1XY + 1Z + -1Z

Combine like terms: 2X + -2X = 0
3 + -1AX + -1AZ + -2X + -1XY + -1Z = 0 + XY + -1XY + 1Z + -1Z
3 + -1AX + -1AZ + -2X + -1XY + -1Z = XY + -1XY + 1Z + -1Z

Combine like terms: XY + -1XY = 0
3 + -1AX + -1AZ + -2X + -1XY + -1Z = 0 + 1Z + -1Z
3 + -1AX + -1AZ + -2X + -1XY + -1Z = 1Z + -1Z

Combine like terms: 1Z + -1Z = 0
3 + -1AX + -1AZ + -2X + -1XY + -1Z = 0

The solution to this equation could not be determined.

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