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Simplifying (V + 3 + 2v + -9) * 2 = 102 Reorder the terms: (3 + -9 + V + 2v) * 2 = 102 Combine like terms: 3 + -9 = -6 (-6 + V + 2v) * 2 = 102 Reorder the terms for easier multiplication: 2(-6 + V + 2v) = 102 (-6 * 2 + V * 2 + 2v * 2) = 102 (-12 + 2V + 4v) = 102 Solving -12 + 2V + 4v = 102 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2V + 12 + 4v = 102 + 12 Reorder the terms: -12 + 12 + 2V + 4v = 102 + 12 Combine like terms: -12 + 12 = 0 0 + 2V + 4v = 102 + 12 2V + 4v = 102 + 12 Combine like terms: 102 + 12 = 114 2V + 4v = 114 Add '-4v' to each side of the equation. 2V + 4v + -4v = 114 + -4v Combine like terms: 4v + -4v = 0 2V + 0 = 114 + -4v 2V = 114 + -4v Divide each side by '2'. V = 57 + -2v Simplifying V = 57 + -2v
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