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Simplifying -2v + 2 = -7v + 17 Reorder the terms: 2 + -2v = -7v + 17 Reorder the terms: 2 + -2v = 17 + -7v Solving 2 + -2v = 17 + -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. 2 + -2v + 7v = 17 + -7v + 7v Combine like terms: -2v + 7v = 5v 2 + 5v = 17 + -7v + 7v Combine like terms: -7v + 7v = 0 2 + 5v = 17 + 0 2 + 5v = 17 Add '-2' to each side of the equation. 2 + -2 + 5v = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 5v = 17 + -2 5v = 17 + -2 Combine like terms: 17 + -2 = 15 5v = 15 Divide each side by '5'. v = 3 Simplifying v = 3
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