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Simplifying 9v + -81 + -3v = 45 + 20v Reorder the terms: -81 + 9v + -3v = 45 + 20v Combine like terms: 9v + -3v = 6v -81 + 6v = 45 + 20v Solving -81 + 6v = 45 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -81 + 6v + -20v = 45 + 20v + -20v Combine like terms: 6v + -20v = -14v -81 + -14v = 45 + 20v + -20v Combine like terms: 20v + -20v = 0 -81 + -14v = 45 + 0 -81 + -14v = 45 Add '81' to each side of the equation. -81 + 81 + -14v = 45 + 81 Combine like terms: -81 + 81 = 0 0 + -14v = 45 + 81 -14v = 45 + 81 Combine like terms: 45 + 81 = 126 -14v = 126 Divide each side by '-14'. v = -9 Simplifying v = -9
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