mq+mk=r

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Solution for mq+mk=r equation: 


Simplifying
mq + mk = r

Reorder the terms:
km + mq = r

Solving
km + mq = r

Solving for variable 'k'.

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

Add '-1mq' to each side of the equation.
km + mq + -1mq = -1mq + r

Combine like terms: mq + -1mq = 0
km + 0 = -1mq + r
km = -1mq + r

Divide each side by 'm'.
k = -1q + m-1r

Simplifying
k = -1q + m-1r

Reorder the terms:
k = m-1r + -1q

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