xr+av=1

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Solution for xr+av=1 equation: 


Simplifying
xr + av = 1

Reorder the terms:
av + rx = 1

Solving
av + rx = 1

Solving for variable 'a'.

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

Add '-1rx' to each side of the equation.
av + rx + -1rx = 1 + -1rx

Combine like terms: rx + -1rx = 0
av + 0 = 1 + -1rx
av = 1 + -1rx

Divide each side by 'v'.
a = v-1 + -1rv-1x

Simplifying
a = v-1 + -1rv-1x

Reorder the terms:
a = -1rv-1x + v-1

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