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Simplifying [ab + c + -1d] * e + abe + -1ce + 2de = 0 Reorder the terms for easier multiplication: e[ab + c + -1d] + abe + -1ce + 2de = 0 [ab * e + c * e + -1d * e] + abe + -1ce + 2de = 0 [abe + ce + -1de] + abe + -1ce + 2de = 0 Reorder the terms: abe + abe + ce + -1ce + -1de + 2de = 0 Combine like terms: abe + abe = 2abe 2abe + ce + -1ce + -1de + 2de = 0 Combine like terms: ce + -1ce = 0 2abe + 0 + -1de + 2de = 0 2abe + -1de + 2de = 0 Combine like terms: -1de + 2de = 1de 2abe + 1de = 0 Solving 2abe + 1de = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1de' to each side of the equation. 2abe + 1de + -1de = 0 + -1de Combine like terms: 1de + -1de = 0 2abe + 0 = 0 + -1de 2abe = 0 + -1de Remove the zero: 2abe = -1de Divide each side by '2be'. a = -0.5b-1d Simplifying a = -0.5b-1d
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