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Simplifying -1(4xy + -6) + 4(3xy + 9) = 0 Reorder the terms: -1(-6 + 4xy) + 4(3xy + 9) = 0 (-6 * -1 + 4xy * -1) + 4(3xy + 9) = 0 (6 + -4xy) + 4(3xy + 9) = 0 Reorder the terms: 6 + -4xy + 4(9 + 3xy) = 0 6 + -4xy + (9 * 4 + 3xy * 4) = 0 6 + -4xy + (36 + 12xy) = 0 Reorder the terms: 6 + 36 + -4xy + 12xy = 0 Combine like terms: 6 + 36 = 42 42 + -4xy + 12xy = 0 Combine like terms: -4xy + 12xy = 8xy 42 + 8xy = 0 Solving 42 + 8xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 8xy = 0 + -42 Combine like terms: 42 + -42 = 0 0 + 8xy = 0 + -42 8xy = 0 + -42 Combine like terms: 0 + -42 = -42 8xy = -42 Divide each side by '8y'. x = -5.25y-1 Simplifying x = -5.25y-1
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