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Simplifying -3v + 9 + 8v = 2v + -3 Reorder the terms: 9 + -3v + 8v = 2v + -3 Combine like terms: -3v + 8v = 5v 9 + 5v = 2v + -3 Reorder the terms: 9 + 5v = -3 + 2v Solving 9 + 5v = -3 + 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 = -3 + 2v + -2v Combine like terms: 5v + -2v = 3v 9 + 3v = -3 + 2v + -2v Combine like terms: 2v + -2v = 0 9 + 3v = -3 + 0 9 + 3v = -3 Add '-9' to each side of the equation. 9 + -9 + 3v = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 3v = -3 + -9 3v = -3 + -9 Combine like terms: -3 + -9 = -12 3v = -12 Divide each side by '3'. v = -4 Simplifying v = -4
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