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Simplifying -2v + 17 = -9(v + -5) Reorder the terms: 17 + -2v = -9(v + -5) Reorder the terms: 17 + -2v = -9(-5 + v) 17 + -2v = (-5 * -9 + v * -9) 17 + -2v = (45 + -9v) Solving 17 + -2v = 45 + -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 17 + -2v + 9v = 45 + -9v + 9v Combine like terms: -2v + 9v = 7v 17 + 7v = 45 + -9v + 9v Combine like terms: -9v + 9v = 0 17 + 7v = 45 + 0 17 + 7v = 45 Add '-17' to each side of the equation. 17 + -17 + 7v = 45 + -17 Combine like terms: 17 + -17 = 0 0 + 7v = 45 + -17 7v = 45 + -17 Combine like terms: 45 + -17 = 28 7v = 28 Divide each side by '7'. v = 4 Simplifying v = 4
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