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Simplifying 2v + 17 = 8v + -43 Reorder the terms: 17 + 2v = 8v + -43 Reorder the terms: 17 + 2v = -43 + 8v Solving 17 + 2v = -43 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 17 + 2v + -8v = -43 + 8v + -8v Combine like terms: 2v + -8v = -6v 17 + -6v = -43 + 8v + -8v Combine like terms: 8v + -8v = 0 17 + -6v = -43 + 0 17 + -6v = -43 Add '-17' to each side of the equation. 17 + -17 + -6v = -43 + -17 Combine like terms: 17 + -17 = 0 0 + -6v = -43 + -17 -6v = -43 + -17 Combine like terms: -43 + -17 = -60 -6v = -60 Divide each side by '-6'. v = 10 Simplifying v = 10
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