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Simplifying (ax + -1by) = 2b(3 + -4x) Remove parenthesis around (ax + -1by) ax + -1by = 2b(3 + -4x) ax + -1by = (3 * 2b + -4x * 2b) ax + -1by = (6b + -8bx) Solving ax + -1by = 6b + -8bx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'by' to each side of the equation. ax + -1by + by = 6b + -8bx + by Combine like terms: -1by + by = 0 ax + 0 = 6b + -8bx + by ax = 6b + -8bx + by Divide each side by 'x'. a = 6bx-1 + -8b + bx-1y Simplifying a = 6bx-1 + -8b + bx-1y Reorder the terms: a = -8b + 6bx-1 + bx-1y
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