us+uq=t

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Solution for us+uq=t equation: 


Simplifying
us + uq = t

Reorder the terms:
qu + su = t

Solving
qu + su = t

Solving for variable 'q'.

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

Add '-1su' to each side of the equation.
qu + su + -1su = -1su + t

Combine like terms: su + -1su = 0
qu + 0 = -1su + t
qu = -1su + t

Divide each side by 'u'.
q = -1s + tu-1

Simplifying
q = -1s + tu-1

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