a+b=c(v+w)

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Solution for a+b=c(v+w) equation: 


Simplifying
a + b = c(v + w)
a + b = (v * c + w * c)
a + b = (cv + cw)

Solving
a + b = cv + cw

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
a + b + -1b = cv + -1b + cw

Combine like terms: b + -1b = 0
a + 0 = cv + -1b + cw
a = cv + -1b + cw

Reorder the terms:
a = -1b + cv + cw

Simplifying
a = -1b + cv + cw

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