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Simplifying 9 + 3v + -9v = 6 + 8v + -11 Combine like terms: 3v + -9v = -6v 9 + -6v = 6 + 8v + -11 Reorder the terms: 9 + -6v = 6 + -11 + 8v Combine like terms: 6 + -11 = -5 9 + -6v = -5 + 8v Solving 9 + -6v = -5 + 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. 9 + -6v + -8v = -5 + 8v + -8v Combine like terms: -6v + -8v = -14v 9 + -14v = -5 + 8v + -8v Combine like terms: 8v + -8v = 0 9 + -14v = -5 + 0 9 + -14v = -5 Add '-9' to each side of the equation. 9 + -9 + -14v = -5 + -9 Combine like terms: 9 + -9 = 0 0 + -14v = -5 + -9 -14v = -5 + -9 Combine like terms: -5 + -9 = -14 -14v = -14 Divide each side by '-14'. v = 1 Simplifying v = 1
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