DemandQx=12-3Px-Py+M+2A

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Solution for DemandQx=12-3Px-Py+M+2A equation: 


Simplifying
DemandQx = 12 + -3Px + -1Py + M + 2A

Reorder the terms:
ademnxDQ = 12 + 2A + M + -3xP + -1yP

Solving
ademnxDQ = 12 + 2A + M + -3xP + -1yP

Solving for variable 'a'.

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

Divide each side by 'demnxDQ'.
a = 12d-1e-1m-1n-1x-1D-1Q-1 + 2d-1e-1m-1n-1x-1AD-1Q-1 + d-1e-1m-1n-1x-1D-1MQ-1 + -3d-1e-1m-1n-1D-1PQ-1 + -1d-1e-1m-1n-1x-1yD-1PQ-1

Simplifying
a = 12d-1e-1m-1n-1x-1D-1Q-1 + 2d-1e-1m-1n-1x-1AD-1Q-1 + d-1e-1m-1n-1x-1D-1MQ-1 + -3d-1e-1m-1n-1D-1PQ-1 + -1d-1e-1m-1n-1x-1yD-1PQ-1

Reorder the terms:
a = -3d-1e-1m-1n-1D-1PQ-1 + 2d-1e-1m-1n-1x-1AD-1Q-1 + d-1e-1m-1n-1x-1D-1MQ-1 + 12d-1e-1m-1n-1x-1D-1Q-1 + -1d-1e-1m-1n-1x-1yD-1PQ-1

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