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Simplifying (4c + 7)(2 + v) = 0 Reorder the terms: (7 + 4c)(2 + v) = 0 Multiply (7 + 4c) * (2 + v) (7(2 + v) + 4c * (2 + v)) = 0 ((2 * 7 + v * 7) + 4c * (2 + v)) = 0 ((14 + 7v) + 4c * (2 + v)) = 0 (14 + 7v + (2 * 4c + v * 4c)) = 0 (14 + 7v + (8c + 4cv)) = 0 Reorder the terms: (14 + 8c + 4cv + 7v) = 0 (14 + 8c + 4cv + 7v) = 0 Solving 14 + 8c + 4cv + 7v = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 8c + 4cv + -14 + 7v = 0 + -14 Reorder the terms: 14 + -14 + 8c + 4cv + 7v = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 8c + 4cv + 7v = 0 + -14 8c + 4cv + 7v = 0 + -14 Combine like terms: 0 + -14 = -14 8c + 4cv + 7v = -14 Add '-7v' to each side of the equation. 8c + 4cv + 7v + -7v = -14 + -7v Combine like terms: 7v + -7v = 0 8c + 4cv + 0 = -14 + -7v 8c + 4cv = -14 + -7v Reorder the terms: 14 + 8c + 4cv + 7v = -14 + -7v + 14 + 7v Reorder the terms: 14 + 8c + 4cv + 7v = -14 + 14 + -7v + 7v Combine like terms: -14 + 14 = 0 14 + 8c + 4cv + 7v = 0 + -7v + 7v 14 + 8c + 4cv + 7v = -7v + 7v Combine like terms: -7v + 7v = 0 14 + 8c + 4cv + 7v = 0 The solution to this equation could not be determined.
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