m(a-b)=c

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Solution for m(a-b)=c equation: 


Simplifying
m(a + -1b) = c
(a * m + -1b * m) = c
(am + -1bm) = c

Solving
am + -1bm = c

Solving for variable 'a'.

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

Add 'bm' to each side of the equation.
am + -1bm + bm = bm + c

Combine like terms: -1bm + bm = 0
am + 0 = bm + c
am = bm + c

Divide each side by 'm'.
a = b + cm-1

Simplifying
a = b + cm-1

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