rp+a=rs+t

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Solution for rp+a=rs+t equation: 


Simplifying
rp + a = rs + t

Reorder the terms:
a + pr = rs + t

Solving
a + pr = rs + t

Solving for variable 'a'.

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

Add '-1pr' to each side of the equation.
a + pr + -1pr = rs + -1pr + t

Combine like terms: pr + -1pr = 0
a + 0 = rs + -1pr + t
a = rs + -1pr + t

Reorder the terms:
a = -1pr + rs + t

Simplifying
a = -1pr + rs + t

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