x+y-8y+13z-9x+5l+3k=

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Solution for x+y-8y+13z-9x+5l+3k= equation: 


Simplifying
x + y + -8y + 13z + -9x + 5l + 3k = 0

Reorder the terms:
3k + 5l + x + -9x + y + -8y + 13z = 0

Combine like terms: x + -9x = -8x
3k + 5l + -8x + y + -8y + 13z = 0

Combine like terms: y + -8y = -7y
3k + 5l + -8x + -7y + 13z = 0

Solving
3k + 5l + -8x + -7y + 13z = 0

Solving for variable 'k'.

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

Add '-5l' to each side of the equation.
3k + 5l + -8x + -7y + -5l + 13z = 0 + -5l

Reorder the terms:
3k + 5l + -5l + -8x + -7y + 13z = 0 + -5l

Combine like terms: 5l + -5l = 0
3k + 0 + -8x + -7y + 13z = 0 + -5l
3k + -8x + -7y + 13z = 0 + -5l
Remove the zero:
3k + -8x + -7y + 13z = -5l

Add '8x' to each side of the equation.
3k + -8x + -7y + 8x + 13z = -5l + 8x

Reorder the terms:
3k + -8x + 8x + -7y + 13z = -5l + 8x

Combine like terms: -8x + 8x = 0
3k + 0 + -7y + 13z = -5l + 8x
3k + -7y + 13z = -5l + 8x

Add '7y' to each side of the equation.
3k + -7y + 7y + 13z = -5l + 8x + 7y

Combine like terms: -7y + 7y = 0
3k + 0 + 13z = -5l + 8x + 7y
3k + 13z = -5l + 8x + 7y

Add '-13z' to each side of the equation.
3k + 13z + -13z = -5l + 8x + 7y + -13z

Combine like terms: 13z + -13z = 0
3k + 0 = -5l + 8x + 7y + -13z
3k = -5l + 8x + 7y + -13z

Divide each side by '3'.
k = -1.666666667l + 2.666666667x + 2.333333333y + -4.333333333z

Simplifying
k = -1.666666667l + 2.666666667x + 2.333333333y + -4.333333333z

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