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Simplifying ax + by = 10x + -7y Solving ax + by = 10x + -7y 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 = 10x + -1by + -7y Combine like terms: by + -1by = 0 ax + 0 = 10x + -1by + -7y ax = 10x + -1by + -7y Reorder the terms: ax = -1by + 10x + -7y Divide each side by 'x'. a = -1bx-1y + 10 + -7x-1y Simplifying a = -1bx-1y + 10 + -7x-1y Reorder the terms: a = 10 + -1bx-1y + -7x-1y
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