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Simplifying c * a + d * b = 0 Multiply c * a ac + d * b = 0 Multiply d * b ac + bd = 0 Solving ac + bd = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1bd' to each side of the equation. ac + bd + -1bd = 0 + -1bd Combine like terms: bd + -1bd = 0 ac + 0 = 0 + -1bd ac = 0 + -1bd Remove the zero: ac = -1bd Divide each side by 'c'. a = -1bc-1d Simplifying a = -1bc-1d
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