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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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