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Simplifying 204.0844 = 5.3v + 3.1(7.2v + 1.684) Reorder the terms: 204.0844 = 5.3v + 3.1(1.684 + 7.2v) 204.0844 = 5.3v + (1.684 * 3.1 + 7.2v * 3.1) 204.0844 = 5.3v + (5.2204 + 22.32v) Reorder the terms: 204.0844 = 5.2204 + 5.3v + 22.32v Combine like terms: 5.3v + 22.32v = 27.62v 204.0844 = 5.2204 + 27.62v Solving 204.0844 = 5.2204 + 27.62v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27.62v' to each side of the equation. 204.0844 + -27.62v = 5.2204 + 27.62v + -27.62v Combine like terms: 27.62v + -27.62v = 0.00 204.0844 + -27.62v = 5.2204 + 0.00 204.0844 + -27.62v = 5.2204 Add '-204.0844' to each side of the equation. 204.0844 + -204.0844 + -27.62v = 5.2204 + -204.0844 Combine like terms: 204.0844 + -204.0844 = 0.0000 0.0000 + -27.62v = 5.2204 + -204.0844 -27.62v = 5.2204 + -204.0844 Combine like terms: 5.2204 + -204.0844 = -198.864 -27.62v = -198.864 Divide each side by '-27.62'. v = 7.2 Simplifying v = 7.2
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