(b-a)m=r

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


Simplifying
(b + -1a) * m = r

Reorder the terms:
(-1a + b) * m = r

Reorder the terms for easier multiplication:
m(-1a + b) = r
(-1a * m + b * m) = r
(-1am + bm) = r

Solving
-1am + bm = r

Solving for variable 'a'.

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

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

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

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

Simplifying
a = b + -1m-1r

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