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Simplifying Ad + bc + -1d = e Reorder the terms: bc + -1d + dA = e Solving bc + -1d + dA = e Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'd' to each side of the equation. bc + -1d + d + dA = d + e Combine like terms: -1d + d = 0 bc + 0 + dA = d + e bc + dA = d + e Add '-1dA' to each side of the equation. bc + dA + -1dA = d + -1dA + e Combine like terms: dA + -1dA = 0 bc + 0 = d + -1dA + e bc = d + -1dA + e Divide each side by 'c'. b = c-1d + -1c-1dA + c-1e Simplifying b = c-1d + -1c-1dA + c-1e
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