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Simplifying aX + -1b + c = d Solving aX + -1b + c = d Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. aX + -1b + b + c = b + d Combine like terms: -1b + b = 0 aX + 0 + c = b + d aX + c = b + d Add '-1c' to each side of the equation. aX + c + -1c = b + -1c + d Combine like terms: c + -1c = 0 aX + 0 = b + -1c + d aX = b + -1c + d Divide each side by 'X'. a = bX-1 + -1cX-1 + dX-1 Simplifying a = bX-1 + -1cX-1 + dX-1
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