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Simplifying ax + by = 3x + 5y Solving ax + by = 3x + 5y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1by' to each side of the equation. ax + by + -1by = 3x + -1by + 5y Combine like terms: by + -1by = 0 ax + 0 = 3x + -1by + 5y ax = 3x + -1by + 5y Reorder the terms: ax = -1by + 3x + 5y Divide each side by 'x'. a = -1bx-1y + 3 + 5x-1y Simplifying a = -1bx-1y + 3 + 5x-1y Reorder the terms: a = 3 + -1bx-1y + 5x-1y
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