T(S+R)=A

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Solution for T(S+R)=A equation: 


Simplifying
T(S + R) = A

Reorder the terms:
T(R + S) = A
(R * T + S * T) = A
(RT + ST) = A

Solving
RT + ST = A

Solving for variable 'R'.

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

Add '-1ST' to each side of the equation.
RT + ST + -1ST = A + -1ST

Combine like terms: ST + -1ST = 0
RT + 0 = A + -1ST
RT = A + -1ST

Divide each side by 'T'.
R = AT-1 + -1S

Simplifying
R = AT-1 + -1S

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