213k+14+51(xy)+10p+14-254y=41z

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Solution for 213k+14+51(xy)+10p+14-254y=41z equation: 


Simplifying
213k + 14 + 51(xy) + 10p + 14 + -254y = 41z

Reorder the terms:
14 + 14 + 213k + 10p + 51xy + -254y = 41z

Combine like terms: 14 + 14 = 28
28 + 213k + 10p + 51xy + -254y = 41z

Solving
28 + 213k + 10p + 51xy + -254y = 41z

Solving for variable 'k'.

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

Add '-28' to each side of the equation.
28 + 213k + 10p + 51xy + -28 + -254y = -28 + 41z

Reorder the terms:
28 + -28 + 213k + 10p + 51xy + -254y = -28 + 41z

Combine like terms: 28 + -28 = 0
0 + 213k + 10p + 51xy + -254y = -28 + 41z
213k + 10p + 51xy + -254y = -28 + 41z

Add '-10p' to each side of the equation.
213k + 10p + 51xy + -10p + -254y = -28 + -10p + 41z

Reorder the terms:
213k + 10p + -10p + 51xy + -254y = -28 + -10p + 41z

Combine like terms: 10p + -10p = 0
213k + 0 + 51xy + -254y = -28 + -10p + 41z
213k + 51xy + -254y = -28 + -10p + 41z

Add '-51xy' to each side of the equation.
213k + 51xy + -51xy + -254y = -28 + -10p + -51xy + 41z

Combine like terms: 51xy + -51xy = 0
213k + 0 + -254y = -28 + -10p + -51xy + 41z
213k + -254y = -28 + -10p + -51xy + 41z

Add '254y' to each side of the equation.
213k + -254y + 254y = -28 + -10p + -51xy + 254y + 41z

Combine like terms: -254y + 254y = 0
213k + 0 = -28 + -10p + -51xy + 254y + 41z
213k = -28 + -10p + -51xy + 254y + 41z

Divide each side by '213'.
k = -0.1314553991 + -0.04694835681p + -0.2394366197xy + 1.192488263y + 0.1924882629z

Simplifying
k = -0.1314553991 + -0.04694835681p + -0.2394366197xy + 1.192488263y + 0.1924882629z

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