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Simplifying -7x + 17v = -6 + 15v Reorder the terms: 17v + -7x = -6 + 15v Solving 17v + -7x = -6 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 17v + -15v + -7x = -6 + 15v + -15v Combine like terms: 17v + -15v = 2v 2v + -7x = -6 + 15v + -15v Combine like terms: 15v + -15v = 0 2v + -7x = -6 + 0 2v + -7x = -6 Add '7x' to each side of the equation. 2v + -7x + 7x = -6 + 7x Combine like terms: -7x + 7x = 0 2v + 0 = -6 + 7x 2v = -6 + 7x Divide each side by '2'. v = -3 + 3.5x Simplifying v = -3 + 3.5x
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