c(a+b)-d=f

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


Simplifying
c(a + b) + -1d = f
(a * c + b * c) + -1d = f
(ac + bc) + -1d = f

Solving
ac + bc + -1d = f

Solving for variable 'a'.

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

Add '-1bc' to each side of the equation.
ac + bc + -1bc + -1d = -1bc + f

Combine like terms: bc + -1bc = 0
ac + 0 + -1d = -1bc + f
ac + -1d = -1bc + f

Add 'd' to each side of the equation.
ac + -1d + d = -1bc + d + f

Combine like terms: -1d + d = 0
ac + 0 = -1bc + d + f
ac = -1bc + d + f

Divide each side by 'c'.
a = -1b + c-1d + c-1f

Simplifying
a = -1b + c-1d + c-1f

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