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Simplifying 3v + -9 = 7 + 21v + -1v Reorder the terms: -9 + 3v = 7 + 21v + -1v Combine like terms: 21v + -1v = 20v -9 + 3v = 7 + 20v Solving -9 + 3v = 7 + 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. -9 + 3v + -20v = 7 + 20v + -20v Combine like terms: 3v + -20v = -17v -9 + -17v = 7 + 20v + -20v Combine like terms: 20v + -20v = 0 -9 + -17v = 7 + 0 -9 + -17v = 7 Add '9' to each side of the equation. -9 + 9 + -17v = 7 + 9 Combine like terms: -9 + 9 = 0 0 + -17v = 7 + 9 -17v = 7 + 9 Combine like terms: 7 + 9 = 16 -17v = 16 Divide each side by '-17'. v = -0.9411764706 Simplifying v = -0.9411764706
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