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Simplifying ax + by + -12 = 0 Reorder the terms: -12 + ax + by = 0 Solving -12 + ax + by = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + ax + 12 + by = 0 + 12 Reorder the terms: -12 + 12 + ax + by = 0 + 12 Combine like terms: -12 + 12 = 0 0 + ax + by = 0 + 12 ax + by = 0 + 12 Combine like terms: 0 + 12 = 12 ax + by = 12 Add '-1by' to each side of the equation. ax + by + -1by = 12 + -1by Combine like terms: by + -1by = 0 ax + 0 = 12 + -1by ax = 12 + -1by Divide each side by 'x'. a = 12x-1 + -1bx-1y Simplifying a = 12x-1 + -1bx-1y Reorder the terms: a = -1bx-1y + 12x-1
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