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Simplifying -3v + 12v + 6 = 7v + 30 Reorder the terms: 6 + -3v + 12v = 7v + 30 Combine like terms: -3v + 12v = 9v 6 + 9v = 7v + 30 Reorder the terms: 6 + 9v = 30 + 7v Solving 6 + 9v = 30 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 6 + 9v + -7v = 30 + 7v + -7v Combine like terms: 9v + -7v = 2v 6 + 2v = 30 + 7v + -7v Combine like terms: 7v + -7v = 0 6 + 2v = 30 + 0 6 + 2v = 30 Add '-6' to each side of the equation. 6 + -6 + 2v = 30 + -6 Combine like terms: 6 + -6 = 0 0 + 2v = 30 + -6 2v = 30 + -6 Combine like terms: 30 + -6 = 24 2v = 24 Divide each side by '2'. v = 12 Simplifying v = 12
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