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Simplifying ab + bc + cd = 0 Solving ab + bc + cd = 0 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. ab + bc + -1bc + cd = 0 + -1bc Combine like terms: bc + -1bc = 0 ab + 0 + cd = 0 + -1bc ab + cd = 0 + -1bc Remove the zero: ab + cd = -1bc Add '-1cd' to each side of the equation. ab + cd + -1cd = -1bc + -1cd Combine like terms: cd + -1cd = 0 ab + 0 = -1bc + -1cd ab = -1bc + -1cd Divide each side by 'b'. a = -1c + -1b-1cd Simplifying a = -1c + -1b-1cd Reorder the terms: a = -1b-1cd + -1c
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