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Simplifying (4c + 3)(8a + 7) = 0 Reorder the terms: (3 + 4c)(8a + 7) = 0 Reorder the terms: (3 + 4c)(7 + 8a) = 0 Multiply (3 + 4c) * (7 + 8a) (3(7 + 8a) + 4c * (7 + 8a)) = 0 ((7 * 3 + 8a * 3) + 4c * (7 + 8a)) = 0 ((21 + 24a) + 4c * (7 + 8a)) = 0 (21 + 24a + (7 * 4c + 8a * 4c)) = 0 Reorder the terms: (21 + 24a + (32ac + 28c)) = 0 (21 + 24a + (32ac + 28c)) = 0 (21 + 24a + 32ac + 28c) = 0 Solving 21 + 24a + 32ac + 28c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 24a + 32ac + -21 + 28c = 0 + -21 Reorder the terms: 21 + -21 + 24a + 32ac + 28c = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 24a + 32ac + 28c = 0 + -21 24a + 32ac + 28c = 0 + -21 Combine like terms: 0 + -21 = -21 24a + 32ac + 28c = -21 Add '-28c' to each side of the equation. 24a + 32ac + 28c + -28c = -21 + -28c Combine like terms: 28c + -28c = 0 24a + 32ac + 0 = -21 + -28c 24a + 32ac = -21 + -28c Reorder the terms: 21 + 24a + 32ac + 28c = -21 + -28c + 21 + 28c Reorder the terms: 21 + 24a + 32ac + 28c = -21 + 21 + -28c + 28c Combine like terms: -21 + 21 = 0 21 + 24a + 32ac + 28c = 0 + -28c + 28c 21 + 24a + 32ac + 28c = -28c + 28c Combine like terms: -28c + 28c = 0 21 + 24a + 32ac + 28c = 0 The solution to this equation could not be determined.
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