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Simplifying (Xy + -1ab + -4) + -1(xy + -9ab + -1) = 0 Reorder the terms: (-4 + -1ab + yX) + -1(xy + -9ab + -1) = 0 Remove parenthesis around (-4 + -1ab + yX) -4 + -1ab + yX + -1(xy + -9ab + -1) = 0 Reorder the terms: -4 + -1ab + yX + -1(-1 + -9ab + xy) = 0 -4 + -1ab + yX + (-1 * -1 + -9ab * -1 + xy * -1) = 0 -4 + -1ab + yX + (1 + 9ab + -1xy) = 0 Reorder the terms: -4 + 1 + -1ab + 9ab + -1xy + yX = 0 Combine like terms: -4 + 1 = -3 -3 + -1ab + 9ab + -1xy + yX = 0 Combine like terms: -1ab + 9ab = 8ab -3 + 8ab + -1xy + yX = 0 Solving -3 + 8ab + -1xy + yX = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 8ab + -1xy + 3 + yX = 0 + 3 Reorder the terms: -3 + 3 + 8ab + -1xy + yX = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8ab + -1xy + yX = 0 + 3 8ab + -1xy + yX = 0 + 3 Combine like terms: 0 + 3 = 3 8ab + -1xy + yX = 3 Add 'xy' to each side of the equation. 8ab + -1xy + xy + yX = 3 + xy Combine like terms: -1xy + xy = 0 8ab + 0 + yX = 3 + xy 8ab + yX = 3 + xy Add '-1yX' to each side of the equation. 8ab + yX + -1yX = 3 + xy + -1yX Combine like terms: yX + -1yX = 0 8ab + 0 = 3 + xy + -1yX 8ab = 3 + xy + -1yX Divide each side by '8b'. a = 0.375b-1 + 0.125b-1xy + -0.125b-1yX Simplifying a = 0.375b-1 + 0.125b-1xy + -0.125b-1yX
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