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Simplifying -3v + 8 = -11 + 9v + -17 Reorder the terms: 8 + -3v = -11 + 9v + -17 Reorder the terms: 8 + -3v = -11 + -17 + 9v Combine like terms: -11 + -17 = -28 8 + -3v = -28 + 9v Solving 8 + -3v = -28 + 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. 8 + -3v + -9v = -28 + 9v + -9v Combine like terms: -3v + -9v = -12v 8 + -12v = -28 + 9v + -9v Combine like terms: 9v + -9v = 0 8 + -12v = -28 + 0 8 + -12v = -28 Add '-8' to each side of the equation. 8 + -8 + -12v = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -12v = -28 + -8 -12v = -28 + -8 Combine like terms: -28 + -8 = -36 -12v = -36 Divide each side by '-12'. v = 3 Simplifying v = 3
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