(K+N)M=r

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Solution for (K+N)M=r equation: 


Simplifying
(K + N) * M = r

Reorder the terms for easier multiplication:
M(K + N) = r
(K * M + N * M) = r
(KM + MN) = r

Solving
KM + MN = r

Solving for variable 'K'.

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

Add '-1MN' to each side of the equation.
KM + MN + -1MN = -1MN + r

Combine like terms: MN + -1MN = 0
KM + 0 = -1MN + r
KM = -1MN + r

Divide each side by 'M'.
K = -1N + rM-1

Simplifying
K = -1N + rM-1

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