T(x+y)=r

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Solution for T(x+y)=r equation: 


Simplifying
T(x + y) = r
(x * T + y * T) = r
(xT + yT) = r

Solving
xT + yT = r

Solving for variable 'x'.

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

Add '-1yT' to each side of the equation.
xT + yT + -1yT = r + -1yT

Combine like terms: yT + -1yT = 0
xT + 0 = r + -1yT
xT = r + -1yT

Divide each side by 'T'.
x = rT-1 + -1y

Simplifying
x = rT-1 + -1y

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