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Simplifying ax + by + cd = e Solving ax + by + cd = e Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1by' to each side of the equation. ax + by + -1by + cd = -1by + e Combine like terms: by + -1by = 0 ax + 0 + cd = -1by + e ax + cd = -1by + e Add '-1cd' to each side of the equation. ax + cd + -1cd = -1by + -1cd + e Combine like terms: cd + -1cd = 0 ax + 0 = -1by + -1cd + e ax = -1by + -1cd + e Divide each side by 'x'. a = -1bx-1y + -1cdx-1 + ex-1 Simplifying a = -1bx-1y + -1cdx-1 + ex-1
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