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Simplifying ax + by + 2 = 0 Reorder the terms: 2 + ax + by = 0 Solving 2 + ax + by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + ax + -2 + by = 0 + -2 Reorder the terms: 2 + -2 + ax + by = 0 + -2 Combine like terms: 2 + -2 = 0 0 + ax + by = 0 + -2 ax + by = 0 + -2 Combine like terms: 0 + -2 = -2 ax + by = -2 Add '-1by' to each side of the equation. ax + by + -1by = -2 + -1by Combine like terms: by + -1by = 0 ax + 0 = -2 + -1by ax = -2 + -1by Divide each side by 'x'. a = -2x-1 + -1bx-1y Simplifying a = -2x-1 + -1bx-1y Reorder the terms: a = -1bx-1y + -2x-1
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