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Simplifying v + 12 + V + 30 + V + -6 = 180 Reorder the terms: 12 + 30 + -6 + V + V + v = 180 Combine like terms: 12 + 30 = 42 42 + -6 + V + V + v = 180 Combine like terms: 42 + -6 = 36 36 + V + V + v = 180 Combine like terms: V + V = 2V 36 + 2V + v = 180 Solving 36 + 2V + v = 180 Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 2V + -36 + v = 180 + -36 Reorder the terms: 36 + -36 + 2V + v = 180 + -36 Combine like terms: 36 + -36 = 0 0 + 2V + v = 180 + -36 2V + v = 180 + -36 Combine like terms: 180 + -36 = 144 2V + v = 144 Add '-1v' to each side of the equation. 2V + v + -1v = 144 + -1v Combine like terms: v + -1v = 0 2V + 0 = 144 + -1v 2V = 144 + -1v Divide each side by '2'. V = 72 + -0.5v Simplifying V = 72 + -0.5v
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