d(a-b)=c(a)

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


Simplifying
d(a + -1b) = c(a)
(a * d + -1b * d) = c(a)
(ad + -1bd) = c(a)

Multiply c * a
ad + -1bd = ac

Solving
ad + -1bd = ac

Solving for variable 'a'.

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

Add '-1ac' to each side of the equation.
ad + -1ac + -1bd = ac + -1ac

Reorder the terms:
-1ac + ad + -1bd = ac + -1ac

Combine like terms: ac + -1ac = 0
-1ac + ad + -1bd = 0

Add 'bd' to each side of the equation.
-1ac + ad + -1bd + bd = 0 + bd

Combine like terms: -1bd + bd = 0
-1ac + ad + 0 = 0 + bd
-1ac + ad = 0 + bd
Remove the zero:
-1ac + ad = bd

Combine like terms: bd + -1bd = 0
-1ac + ad + -1bd = 0

The solution to this equation could not be determined.

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