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Simplifying 3 + -3v + 8v = 3v + -9 Combine like terms: -3v + 8v = 5v 3 + 5v = 3v + -9 Reorder the terms: 3 + 5v = -9 + 3v Solving 3 + 5v = -9 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 3 + 5v + -3v = -9 + 3v + -3v Combine like terms: 5v + -3v = 2v 3 + 2v = -9 + 3v + -3v Combine like terms: 3v + -3v = 0 3 + 2v = -9 + 0 3 + 2v = -9 Add '-3' to each side of the equation. 3 + -3 + 2v = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 2v = -9 + -3 2v = -9 + -3 Combine like terms: -9 + -3 = -12 2v = -12 Divide each side by '2'. v = -6 Simplifying v = -6
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