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