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Simplifying 4v + 2 = 9v + 6 + -1v Reorder the terms: 2 + 4v = 9v + 6 + -1v Reorder the terms: 2 + 4v = 6 + 9v + -1v Combine like terms: 9v + -1v = 8v 2 + 4v = 6 + 8v Solving 2 + 4v = 6 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 2 + 4v + -8v = 6 + 8v + -8v Combine like terms: 4v + -8v = -4v 2 + -4v = 6 + 8v + -8v Combine like terms: 8v + -8v = 0 2 + -4v = 6 + 0 2 + -4v = 6 Add '-2' to each side of the equation. 2 + -2 + -4v = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -4v = 6 + -2 -4v = 6 + -2 Combine like terms: 6 + -2 = 4 -4v = 4 Divide each side by '-4'. v = -1 Simplifying v = -1
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