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Simplifying 24(4v + 4) = 7(2v + 14) Reorder the terms: 24(4 + 4v) = 7(2v + 14) (4 * 24 + 4v * 24) = 7(2v + 14) (96 + 96v) = 7(2v + 14) Reorder the terms: 96 + 96v = 7(14 + 2v) 96 + 96v = (14 * 7 + 2v * 7) 96 + 96v = (98 + 14v) Solving 96 + 96v = 98 + 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 96 + 96v + -14v = 98 + 14v + -14v Combine like terms: 96v + -14v = 82v 96 + 82v = 98 + 14v + -14v Combine like terms: 14v + -14v = 0 96 + 82v = 98 + 0 96 + 82v = 98 Add '-96' to each side of the equation. 96 + -96 + 82v = 98 + -96 Combine like terms: 96 + -96 = 0 0 + 82v = 98 + -96 82v = 98 + -96 Combine like terms: 98 + -96 = 2 82v = 2 Divide each side by '82'. v = 0.0243902439 Simplifying v = 0.0243902439
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