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Simplifying ax + by + 4 = 0 Reorder the terms: 4 + ax + by = 0 Solving 4 + ax + by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + ax + -4 + by = 0 + -4 Reorder the terms: 4 + -4 + ax + by = 0 + -4 Combine like terms: 4 + -4 = 0 0 + ax + by = 0 + -4 ax + by = 0 + -4 Combine like terms: 0 + -4 = -4 ax + by = -4 Add '-1by' to each side of the equation. ax + by + -1by = -4 + -1by Combine like terms: by + -1by = 0 ax + 0 = -4 + -1by ax = -4 + -1by Divide each side by 'x'. a = -4x-1 + -1bx-1y Simplifying a = -4x-1 + -1bx-1y Reorder the terms: a = -1bx-1y + -4x-1
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