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Simplifying 6xy + -2x(4a + -8y) = 0 6xy + (4a * -2x + -8y * -2x) = 0 6xy + (-8ax + 16xy) = 0 Reorder the terms: -8ax + 6xy + 16xy = 0 Combine like terms: 6xy + 16xy = 22xy -8ax + 22xy = 0 Solving -8ax + 22xy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22xy' to each side of the equation. -8ax + 22xy + -22xy = 0 + -22xy Combine like terms: 22xy + -22xy = 0 -8ax + 0 = 0 + -22xy -8ax = 0 + -22xy Remove the zero: -8ax = -22xy Divide each side by '-8x'. a = 2.75y Simplifying a = 2.75y
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