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Simplifying (2u + 7)(3a + -1) = 0 Reorder the terms: (7 + 2u)(3a + -1) = 0 Reorder the terms: (7 + 2u)(-1 + 3a) = 0 Multiply (7 + 2u) * (-1 + 3a) (7(-1 + 3a) + 2u * (-1 + 3a)) = 0 ((-1 * 7 + 3a * 7) + 2u * (-1 + 3a)) = 0 ((-7 + 21a) + 2u * (-1 + 3a)) = 0 (-7 + 21a + (-1 * 2u + 3a * 2u)) = 0 Reorder the terms: (-7 + 21a + (6au + -2u)) = 0 (-7 + 21a + (6au + -2u)) = 0 (-7 + 21a + 6au + -2u) = 0 Solving -7 + 21a + 6au + -2u = 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 + 21a + 6au + 7 + -2u = 0 + 7 Reorder the terms: -7 + 7 + 21a + 6au + -2u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 21a + 6au + -2u = 0 + 7 21a + 6au + -2u = 0 + 7 Combine like terms: 0 + 7 = 7 21a + 6au + -2u = 7 Add '2u' to each side of the equation. 21a + 6au + -2u + 2u = 7 + 2u Combine like terms: -2u + 2u = 0 21a + 6au + 0 = 7 + 2u 21a + 6au = 7 + 2u Reorder the terms: -7 + 21a + 6au + -2u = 7 + 2u + -7 + -2u Reorder the terms: -7 + 21a + 6au + -2u = 7 + -7 + 2u + -2u Combine like terms: 7 + -7 = 0 -7 + 21a + 6au + -2u = 0 + 2u + -2u -7 + 21a + 6au + -2u = 2u + -2u Combine like terms: 2u + -2u = 0 -7 + 21a + 6au + -2u = 0 The solution to this equation could not be determined.
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