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Simplifying ax + by + 3 = 7 Reorder the terms: 3 + ax + by = 7 Solving 3 + ax + by = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + ax + -3 + by = 7 + -3 Reorder the terms: 3 + -3 + ax + by = 7 + -3 Combine like terms: 3 + -3 = 0 0 + ax + by = 7 + -3 ax + by = 7 + -3 Combine like terms: 7 + -3 = 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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