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Simplifying 2a(xy + -2) + -4(xy + -2) + -1z(xy + -2) = 0 Reorder the terms: 2a(-2 + xy) + -4(xy + -2) + -1z(xy + -2) = 0 (-2 * 2a + xy * 2a) + -4(xy + -2) + -1z(xy + -2) = 0 (-4a + 2axy) + -4(xy + -2) + -1z(xy + -2) = 0 Reorder the terms: -4a + 2axy + -4(-2 + xy) + -1z(xy + -2) = 0 -4a + 2axy + (-2 * -4 + xy * -4) + -1z(xy + -2) = 0 -4a + 2axy + (8 + -4xy) + -1z(xy + -2) = 0 Reorder the terms: -4a + 2axy + 8 + -4xy + -1z(-2 + xy) = 0 -4a + 2axy + 8 + -4xy + (-2 * -1z + xy * -1z) = 0 Reorder the terms: -4a + 2axy + 8 + -4xy + (-1xyz + 2z) = 0 -4a + 2axy + 8 + -4xy + (-1xyz + 2z) = 0 Reorder the terms: 8 + -4a + 2axy + -4xy + -1xyz + 2z = 0 Solving 8 + -4a + 2axy + -4xy + -1xyz + 2z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -4a + 2axy + -4xy + -1xyz + -8 + 2z = 0 + -8 Reorder the terms: 8 + -8 + -4a + 2axy + -4xy + -1xyz + 2z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4a + 2axy + -4xy + -1xyz + 2z = 0 + -8 -4a + 2axy + -4xy + -1xyz + 2z = 0 + -8 Combine like terms: 0 + -8 = -8 -4a + 2axy + -4xy + -1xyz + 2z = -8 Add '4xy' to each side of the equation. -4a + 2axy + -4xy + -1xyz + 4xy + 2z = -8 + 4xy Reorder the terms: -4a + 2axy + -4xy + 4xy + -1xyz + 2z = -8 + 4xy Combine like terms: -4xy + 4xy = 0 -4a + 2axy + 0 + -1xyz + 2z = -8 + 4xy -4a + 2axy + -1xyz + 2z = -8 + 4xy Add 'xyz' to each side of the equation. -4a + 2axy + -1xyz + xyz + 2z = -8 + 4xy + xyz Combine like terms: -1xyz + xyz = 0 -4a + 2axy + 0 + 2z = -8 + 4xy + xyz -4a + 2axy + 2z = -8 + 4xy + xyz Add '-2z' to each side of the equation. -4a + 2axy + 2z + -2z = -8 + 4xy + xyz + -2z Combine like terms: 2z + -2z = 0 -4a + 2axy + 0 = -8 + 4xy + xyz + -2z -4a + 2axy = -8 + 4xy + xyz + -2z Reorder the terms: 8 + -4a + 2axy + -4xy + -1xyz + 2z = -8 + 4xy + xyz + -2z + 8 + -4xy + -1xyz + 2z Reorder the terms: 8 + -4a + 2axy + -4xy + -1xyz + 2z = -8 + 8 + 4xy + -4xy + xyz + -1xyz + -2z + 2z Combine like terms: -8 + 8 = 0 8 + -4a + 2axy + -4xy + -1xyz + 2z = 0 + 4xy + -4xy + xyz + -1xyz + -2z + 2z 8 + -4a + 2axy + -4xy + -1xyz + 2z = 4xy + -4xy + xyz + -1xyz + -2z + 2z Combine like terms: 4xy + -4xy = 0 8 + -4a + 2axy + -4xy + -1xyz + 2z = 0 + xyz + -1xyz + -2z + 2z 8 + -4a + 2axy + -4xy + -1xyz + 2z = xyz + -1xyz + -2z + 2z Combine like terms: xyz + -1xyz = 0 8 + -4a + 2axy + -4xy + -1xyz + 2z = 0 + -2z + 2z 8 + -4a + 2axy + -4xy + -1xyz + 2z = -2z + 2z Combine like terms: -2z + 2z = 0 8 + -4a + 2axy + -4xy + -1xyz + 2z = 0 The solution to this equation could not be determined.
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