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Simplifying 2v + 15 + 7v = 17 + 4v + 8 Reorder the terms: 15 + 2v + 7v = 17 + 4v + 8 Combine like terms: 2v + 7v = 9v 15 + 9v = 17 + 4v + 8 Reorder the terms: 15 + 9v = 17 + 8 + 4v Combine like terms: 17 + 8 = 25 15 + 9v = 25 + 4v Solving 15 + 9v = 25 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 15 + 9v + -4v = 25 + 4v + -4v Combine like terms: 9v + -4v = 5v 15 + 5v = 25 + 4v + -4v Combine like terms: 4v + -4v = 0 15 + 5v = 25 + 0 15 + 5v = 25 Add '-15' to each side of the equation. 15 + -15 + 5v = 25 + -15 Combine like terms: 15 + -15 = 0 0 + 5v = 25 + -15 5v = 25 + -15 Combine like terms: 25 + -15 = 10 5v = 10 Divide each side by '5'. v = 2 Simplifying v = 2
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