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Simplifying 2a(xy + -7) + -10(xy + -7) + -1z(xy + -7) = 0 Reorder the terms: 2a(-7 + xy) + -10(xy + -7) + -1z(xy + -7) = 0 (-7 * 2a + xy * 2a) + -10(xy + -7) + -1z(xy + -7) = 0 (-14a + 2axy) + -10(xy + -7) + -1z(xy + -7) = 0 Reorder the terms: -14a + 2axy + -10(-7 + xy) + -1z(xy + -7) = 0 -14a + 2axy + (-7 * -10 + xy * -10) + -1z(xy + -7) = 0 -14a + 2axy + (70 + -10xy) + -1z(xy + -7) = 0 Reorder the terms: -14a + 2axy + 70 + -10xy + -1z(-7 + xy) = 0 -14a + 2axy + 70 + -10xy + (-7 * -1z + xy * -1z) = 0 Reorder the terms: -14a + 2axy + 70 + -10xy + (-1xyz + 7z) = 0 -14a + 2axy + 70 + -10xy + (-1xyz + 7z) = 0 Reorder the terms: 70 + -14a + 2axy + -10xy + -1xyz + 7z = 0 Solving 70 + -14a + 2axy + -10xy + -1xyz + 7z = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -14a + 2axy + -10xy + -1xyz + -70 + 7z = 0 + -70 Reorder the terms: 70 + -70 + -14a + 2axy + -10xy + -1xyz + 7z = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -14a + 2axy + -10xy + -1xyz + 7z = 0 + -70 -14a + 2axy + -10xy + -1xyz + 7z = 0 + -70 Combine like terms: 0 + -70 = -70 -14a + 2axy + -10xy + -1xyz + 7z = -70 Add '10xy' to each side of the equation. -14a + 2axy + -10xy + -1xyz + 10xy + 7z = -70 + 10xy Reorder the terms: -14a + 2axy + -10xy + 10xy + -1xyz + 7z = -70 + 10xy Combine like terms: -10xy + 10xy = 0 -14a + 2axy + 0 + -1xyz + 7z = -70 + 10xy -14a + 2axy + -1xyz + 7z = -70 + 10xy Add 'xyz' to each side of the equation. -14a + 2axy + -1xyz + xyz + 7z = -70 + 10xy + xyz Combine like terms: -1xyz + xyz = 0 -14a + 2axy + 0 + 7z = -70 + 10xy + xyz -14a + 2axy + 7z = -70 + 10xy + xyz Add '-7z' to each side of the equation. -14a + 2axy + 7z + -7z = -70 + 10xy + xyz + -7z Combine like terms: 7z + -7z = 0 -14a + 2axy + 0 = -70 + 10xy + xyz + -7z -14a + 2axy = -70 + 10xy + xyz + -7z Reorder the terms: 70 + -14a + 2axy + -10xy + -1xyz + 7z = -70 + 10xy + xyz + -7z + 70 + -10xy + -1xyz + 7z Reorder the terms: 70 + -14a + 2axy + -10xy + -1xyz + 7z = -70 + 70 + 10xy + -10xy + xyz + -1xyz + -7z + 7z Combine like terms: -70 + 70 = 0 70 + -14a + 2axy + -10xy + -1xyz + 7z = 0 + 10xy + -10xy + xyz + -1xyz + -7z + 7z 70 + -14a + 2axy + -10xy + -1xyz + 7z = 10xy + -10xy + xyz + -1xyz + -7z + 7z Combine like terms: 10xy + -10xy = 0 70 + -14a + 2axy + -10xy + -1xyz + 7z = 0 + xyz + -1xyz + -7z + 7z 70 + -14a + 2axy + -10xy + -1xyz + 7z = xyz + -1xyz + -7z + 7z Combine like terms: xyz + -1xyz = 0 70 + -14a + 2axy + -10xy + -1xyz + 7z = 0 + -7z + 7z 70 + -14a + 2axy + -10xy + -1xyz + 7z = -7z + 7z Combine like terms: -7z + 7z = 0 70 + -14a + 2axy + -10xy + -1xyz + 7z = 0 The solution to this equation could not be determined.
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