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Simplifying 5xy(a + 7) + -1(a + 7) = 0 Reorder the terms: 5xy(7 + a) + -1(a + 7) = 0 (7 * 5xy + a * 5xy) + -1(a + 7) = 0 Reorder the terms: (5axy + 35xy) + -1(a + 7) = 0 (5axy + 35xy) + -1(a + 7) = 0 Reorder the terms: 5axy + 35xy + -1(7 + a) = 0 5axy + 35xy + (7 * -1 + a * -1) = 0 5axy + 35xy + (-7 + -1a) = 0 Reorder the terms: -7 + -1a + 5axy + 35xy = 0 Solving -7 + -1a + 5axy + 35xy = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -1a + 5axy + 7 + 35xy = 0 + 7 Reorder the terms: -7 + 7 + -1a + 5axy + 35xy = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1a + 5axy + 35xy = 0 + 7 -1a + 5axy + 35xy = 0 + 7 Combine like terms: 0 + 7 = 7 -1a + 5axy + 35xy = 7 Add '-35xy' to each side of the equation. -1a + 5axy + 35xy + -35xy = 7 + -35xy Combine like terms: 35xy + -35xy = 0 -1a + 5axy + 0 = 7 + -35xy -1a + 5axy = 7 + -35xy Reorder the terms: -7 + -1a + 5axy + 35xy = 7 + -35xy + -7 + 35xy Reorder the terms: -7 + -1a + 5axy + 35xy = 7 + -7 + -35xy + 35xy Combine like terms: 7 + -7 = 0 -7 + -1a + 5axy + 35xy = 0 + -35xy + 35xy -7 + -1a + 5axy + 35xy = -35xy + 35xy Combine like terms: -35xy + 35xy = 0 -7 + -1a + 5axy + 35xy = 0 The solution to this equation could not be determined.
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