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Simplifying aX + -1b + g = d Solving aX + -1b + g = 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 + g = b + d Combine like terms: -1b + b = 0 aX + 0 + g = b + d aX + g = b + d Add '-1g' to each side of the equation. aX + g + -1g = b + d + -1g Combine like terms: g + -1g = 0 aX + 0 = b + d + -1g aX = b + d + -1g Divide each side by 'X'. a = bX-1 + dX-1 + -1gX-1 Simplifying a = bX-1 + dX-1 + -1gX-1
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