uk+up=t

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Solution for uk+up=t equation: 


Simplifying
uk + up = t

Solving
ku + pu = t

Solving for variable 'k'.

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

Add '-1pu' to each side of the equation.
ku + pu + -1pu = -1pu + t

Combine like terms: pu + -1pu = 0
ku + 0 = -1pu + t
ku = -1pu + t

Divide each side by 'u'.
k = -1p + tu-1

Simplifying
k = -1p + tu-1

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