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Simplifying hi + bye + lie + die = 0 Reorder the terms: bey + dei + eil + hi = 0 Solving bey + dei + eil + hi = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1dei' to each side of the equation. bey + dei + eil + -1dei + hi = 0 + -1dei Reorder the terms: bey + dei + -1dei + eil + hi = 0 + -1dei Combine like terms: dei + -1dei = 0 bey + 0 + eil + hi = 0 + -1dei bey + eil + hi = 0 + -1dei Remove the zero: bey + eil + hi = -1dei Add '-1eil' to each side of the equation. bey + eil + -1eil + hi = -1dei + -1eil Combine like terms: eil + -1eil = 0 bey + 0 + hi = -1dei + -1eil bey + hi = -1dei + -1eil Add '-1hi' to each side of the equation. bey + hi + -1hi = -1dei + -1eil + -1hi Combine like terms: hi + -1hi = 0 bey + 0 = -1dei + -1eil + -1hi bey = -1dei + -1eil + -1hi Divide each side by 'ey'. b = -1diy-1 + -1ily-1 + -1e-1hiy-1 Simplifying b = -1diy-1 + -1ily-1 + -1e-1hiy-1 Reorder the terms: b = -1diy-1 + -1e-1hiy-1 + -1ily-1
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