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Simplifying 2x + -1by + ay + -1bx = 0 Reorder the terms: ay + -1bx + -1by + 2x = 0 Solving ay + -1bx + -1by + 2x = 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 + 2x = 0 + bx Reorder the terms: ay + -1bx + bx + -1by + 2x = 0 + bx Combine like terms: -1bx + bx = 0 ay + 0 + -1by + 2x = 0 + bx ay + -1by + 2x = 0 + bx Remove the zero: ay + -1by + 2x = bx Add 'by' to each side of the equation. ay + -1by + by + 2x = bx + by Combine like terms: -1by + by = 0 ay + 0 + 2x = bx + by ay + 2x = bx + by Add '-2x' to each side of the equation. ay + 2x + -2x = bx + by + -2x Combine like terms: 2x + -2x = 0 ay + 0 = bx + by + -2x ay = bx + by + -2x Divide each side by 'y'. a = bxy-1 + b + -2xy-1 Simplifying a = bxy-1 + b + -2xy-1 Reorder the terms: a = b + bxy-1 + -2xy-1
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