sr+-1t=us+v

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Solution for sr+-1t=us+v equation: 


Simplifying
sr + -1t = us + v

Solving
rs + -1t = su + v

Solving for variable 'r'.

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

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

Combine like terms: -1t + t = 0
rs + 0 = su + t + v
rs = su + t + v

Divide each side by 's'.
r = u + s-1t + s-1v

Simplifying
r = u + s-1t + s-1v

Reorder the terms:
r = s-1t + s-1v + u

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