M(x+y)=k

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Solution for M(x+y)=k equation: 


Simplifying
M(x + y) = k
(x * M + y * M) = k
(xM + yM) = k

Solving
xM + yM = k

Solving for variable 'x'.

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

Add '-1yM' to each side of the equation.
xM + yM + -1yM = k + -1yM

Combine like terms: yM + -1yM = 0
xM + 0 = k + -1yM
xM = k + -1yM

Divide each side by 'M'.
x = kM-1 + -1y

Simplifying
x = kM-1 + -1y

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