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Simplifying -4 + -2v + 8 = 6 + -6 + -9v + 6v Reorder the terms: -4 + 8 + -2v = 6 + -6 + -9v + 6v Combine like terms: -4 + 8 = 4 4 + -2v = 6 + -6 + -9v + 6v Combine like terms: 6 + -6 = 0 4 + -2v = 0 + -9v + 6v 4 + -2v = -9v + 6v Combine like terms: -9v + 6v = -3v 4 + -2v = -3v Solving 4 + -2v = -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. 4 + -2v + 3v = -3v + 3v Combine like terms: -2v + 3v = 1v 4 + 1v = -3v + 3v Combine like terms: -3v + 3v = 0 4 + 1v = 0 Add '-4' to each side of the equation. 4 + -4 + 1v = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 1v = 0 + -4 1v = 0 + -4 Combine like terms: 0 + -4 = -4 1v = -4 Divide each side by '1'. v = -4 Simplifying v = -4
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