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