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Simplifying -1(6xy + -9) + 3(4xy + 6) = 0 Reorder the terms: -1(-9 + 6xy) + 3(4xy + 6) = 0 (-9 * -1 + 6xy * -1) + 3(4xy + 6) = 0 (9 + -6xy) + 3(4xy + 6) = 0 Reorder the terms: 9 + -6xy + 3(6 + 4xy) = 0 9 + -6xy + (6 * 3 + 4xy * 3) = 0 9 + -6xy + (18 + 12xy) = 0 Reorder the terms: 9 + 18 + -6xy + 12xy = 0 Combine like terms: 9 + 18 = 27 27 + -6xy + 12xy = 0 Combine like terms: -6xy + 12xy = 6xy 27 + 6xy = 0 Solving 27 + 6xy = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 6xy = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 6xy = 0 + -27 6xy = 0 + -27 Combine like terms: 0 + -27 = -27 6xy = -27 Divide each side by '6y'. x = -4.5y-1 Simplifying x = -4.5y-1
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