Kx+Ny=P

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Solution for Kx+Ny=P equation: 


Simplifying
Kx + Ny = P

Solving
xK + yN = P

Solving for variable 'x'.

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

Add '-1yN' to each side of the equation.
xK + yN + -1yN = P + -1yN

Combine like terms: yN + -1yN = 0
xK + 0 = P + -1yN
xK = P + -1yN

Divide each side by 'K'.
x = K-1P + -1yK-1N

Simplifying
x = K-1P + -1yK-1N

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