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