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Simplifying 5v + 9 = 7 + 2v Reorder the terms: 9 + 5v = 7 + 2v Solving 9 + 5v = 7 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 9 + 5v + -2v = 7 + 2v + -2v Combine like terms: 5v + -2v = 3v 9 + 3v = 7 + 2v + -2v Combine like terms: 2v + -2v = 0 9 + 3v = 7 + 0 9 + 3v = 7 Add '-9' to each side of the equation. 9 + -9 + 3v = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = 7 + -9 3v = 7 + -9 Combine like terms: 7 + -9 = -2 3v = -2 Divide each side by '3'. v = -0.6666666667 Simplifying v = -0.6666666667
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