5x+ky=-4

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Solution for 5x+ky=-4 equation: 


Simplifying
5x + ky = -4

Reorder the terms:
ky + 5x = -4

Solving
ky + 5x = -4

Solving for variable 'k'.

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

Add '-5x' to each side of the equation.
ky + 5x + -5x = -4 + -5x

Combine like terms: 5x + -5x = 0
ky + 0 = -4 + -5x
ky = -4 + -5x

Divide each side by 'y'.
k = -4y-1 + -5xy-1

Simplifying
k = -4y-1 + -5xy-1

Reorder the terms:
k = -5xy-1 + -4y-1

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