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Simplifying 4x(a + -8) + -3(8 + -1a) = 0 Reorder the terms: 4x(-8 + a) + -3(8 + -1a) = 0 (-8 * 4x + a * 4x) + -3(8 + -1a) = 0 Reorder the terms: (4ax + -32x) + -3(8 + -1a) = 0 (4ax + -32x) + -3(8 + -1a) = 0 4ax + -32x + (8 * -3 + -1a * -3) = 0 4ax + -32x + (-24 + 3a) = 0 Reorder the terms: -24 + 3a + 4ax + -32x = 0 Solving -24 + 3a + 4ax + -32x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 3a + 4ax + 24 + -32x = 0 + 24 Reorder the terms: -24 + 24 + 3a + 4ax + -32x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 3a + 4ax + -32x = 0 + 24 3a + 4ax + -32x = 0 + 24 Combine like terms: 0 + 24 = 24 3a + 4ax + -32x = 24 Add '32x' to each side of the equation. 3a + 4ax + -32x + 32x = 24 + 32x Combine like terms: -32x + 32x = 0 3a + 4ax + 0 = 24 + 32x 3a + 4ax = 24 + 32x Reorder the terms: -24 + 3a + 4ax + -32x = 24 + 32x + -24 + -32x Reorder the terms: -24 + 3a + 4ax + -32x = 24 + -24 + 32x + -32x Combine like terms: 24 + -24 = 0 -24 + 3a + 4ax + -32x = 0 + 32x + -32x -24 + 3a + 4ax + -32x = 32x + -32x Combine like terms: 32x + -32x = 0 -24 + 3a + 4ax + -32x = 0 The solution to this equation could not be determined.
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