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Simplifying (x + -9)(2a + 1) = 0 Reorder the terms: (-9 + x)(2a + 1) = 0 Reorder the terms: (-9 + x)(1 + 2a) = 0 Multiply (-9 + x) * (1 + 2a) (-9(1 + 2a) + x(1 + 2a)) = 0 ((1 * -9 + 2a * -9) + x(1 + 2a)) = 0 ((-9 + -18a) + x(1 + 2a)) = 0 (-9 + -18a + (1 * x + 2a * x)) = 0 Reorder the terms: (-9 + -18a + (2ax + 1x)) = 0 (-9 + -18a + (2ax + 1x)) = 0 (-9 + -18a + 2ax + 1x) = 0 Solving -9 + -18a + 2ax + 1x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + -18a + 2ax + 9 + 1x = 0 + 9 Reorder the terms: -9 + 9 + -18a + 2ax + 1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -18a + 2ax + 1x = 0 + 9 -18a + 2ax + 1x = 0 + 9 Combine like terms: 0 + 9 = 9 -18a + 2ax + 1x = 9 Add '-1x' to each side of the equation. -18a + 2ax + 1x + -1x = 9 + -1x Combine like terms: 1x + -1x = 0 -18a + 2ax + 0 = 9 + -1x -18a + 2ax = 9 + -1x Reorder the terms: -9 + -18a + 2ax + x = 9 + -1x + -9 + x Reorder the terms: -9 + -18a + 2ax + x = 9 + -9 + -1x + x Combine like terms: 9 + -9 = 0 -9 + -18a + 2ax + x = 0 + -1x + x -9 + -18a + 2ax + x = -1x + x Combine like terms: -1x + x = 0 -9 + -18a + 2ax + x = 0 The solution to this equation could not be determined.
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