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Simplifying -3v + 17 = -5(v + -5) Reorder the terms: 17 + -3v = -5(v + -5) Reorder the terms: 17 + -3v = -5(-5 + v) 17 + -3v = (-5 * -5 + v * -5) 17 + -3v = (25 + -5v) Solving 17 + -3v = 25 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 17 + -3v + 5v = 25 + -5v + 5v Combine like terms: -3v + 5v = 2v 17 + 2v = 25 + -5v + 5v Combine like terms: -5v + 5v = 0 17 + 2v = 25 + 0 17 + 2v = 25 Add '-17' to each side of the equation. 17 + -17 + 2v = 25 + -17 Combine like terms: 17 + -17 = 0 0 + 2v = 25 + -17 2v = 25 + -17 Combine like terms: 25 + -17 = 8 2v = 8 Divide each side by '2'. v = 4 Simplifying v = 4
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