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Simplifying (V + 3g + 2v + -9) * 2 = 102 Reorder the terms: (-9 + V + 3g + 2v) * 2 = 102 Reorder the terms for easier multiplication: 2(-9 + V + 3g + 2v) = 102 (-9 * 2 + V * 2 + 3g * 2 + 2v * 2) = 102 (-18 + 2V + 6g + 4v) = 102 Solving -18 + 2V + 6g + 4v = 102 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 2V + 6g + 18 + 4v = 102 + 18 Reorder the terms: -18 + 18 + 2V + 6g + 4v = 102 + 18 Combine like terms: -18 + 18 = 0 0 + 2V + 6g + 4v = 102 + 18 2V + 6g + 4v = 102 + 18 Combine like terms: 102 + 18 = 120 2V + 6g + 4v = 120 Add '-6g' to each side of the equation. 2V + 6g + -6g + 4v = 120 + -6g Combine like terms: 6g + -6g = 0 2V + 0 + 4v = 120 + -6g 2V + 4v = 120 + -6g Add '-4v' to each side of the equation. 2V + 4v + -4v = 120 + -6g + -4v Combine like terms: 4v + -4v = 0 2V + 0 = 120 + -6g + -4v 2V = 120 + -6g + -4v Divide each side by '2'. V = 60 + -3g + -2v Simplifying V = 60 + -3g + -2v
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