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Simplifying Ax + ay + -1bx + -1by = 0 Reorder the terms: ay + -1bx + -1by + xA = 0 Solving ay + -1bx + -1by + xA = 0 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. ay + -1bx + -1by + bx + xA = 0 + bx Reorder the terms: ay + -1bx + bx + -1by + xA = 0 + bx Combine like terms: -1bx + bx = 0 ay + 0 + -1by + xA = 0 + bx ay + -1by + xA = 0 + bx Remove the zero: ay + -1by + xA = bx Add 'by' to each side of the equation. ay + -1by + by + xA = bx + by Combine like terms: -1by + by = 0 ay + 0 + xA = bx + by ay + xA = bx + by Add '-1xA' to each side of the equation. ay + xA + -1xA = bx + by + -1xA Combine like terms: xA + -1xA = 0 ay + 0 = bx + by + -1xA ay = bx + by + -1xA Divide each side by 'y'. a = bxy-1 + b + -1xy-1A Simplifying a = bxy-1 + b + -1xy-1A Reorder the terms: a = b + bxy-1 + -1xy-1A
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